23 july business mathematics

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www.afterschoool.tk AFTERSCHOOOL MATERIAL FO

BUSINESS MATHEMATICS

AFTERSCHOOOL DEVELOPING CHANGEMAKERS

CENTRE FOR SOCIAL ENTREPRENEURSHIP

PGPSE PROGRAMME

World Most Comprehensive programme in socialentrepreneurship & spiritual entrepreneurship

OPEN FOR ALL FREE FOR ALL


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BUSINESS MATHEMATICSDr. T.K. Jain.

AFTERSCHOOOL

Centre for social entrepreneurship

Bikaner

M: 9414430763

[email protected]

www.afterschool.tk

www.afterschoool.tk
http://www.afterschool.tk/http://www.afterschoool.tk/http://www.afterschoool.tk/http://www.afterschool.tk/


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I HAVE 6 FRINEDS, IN HOW MANY

WAYS CAN IN INVITE THEM FOR

DINNER? I may invite 1, 2, 3,4,5, or all 6. I may invite

any combination out of these. But I have toinvite at least one of them.

FORMULAE = 2 ^n -1 =2^6 -1 =64-1 = 63

Note : here if it is not necessary to invite atleast one person, then the answer will be64.


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THERE ARE 4 BOYS AND 3 GIRLS IN

DEBATE GROUP. ONE COMMITTEE

IS TO BE FORMED WITH AT LEAST 2GIRLS. COMMITTEE WILL CONSIST

OF 4 MEMBERS. HOW MANY

OPTIONS DO WE HAVE?

We can take 4 members as 2 boys and 2 girls or3girls and 1 boys (total has to be 4 membersonly).

We can select 2 boys and 2 girls.

4c2 * 3c2 = 6*3 = 18 We can select 1 boy and 3 girls 4c1 * 3c3 = 4*1 = 4 No. of options = 18+4 =22 answer


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Continued .. .. Answer .. 4c2 * 3c2 = 6*3 = 18 In this combination question, we take

factorial of 4 (4*3*2*1) which is divided by2*1 & (4-2)!, which is again 2*1.

4c2 = (4*3*2*1 )/ (2*1)(2*1) = 6Similarly, 3c2 = 3! Divided by 2! & (3-2)!.Which is (3*2*1)/(2*1)(1) = 3=6*3 = 18.


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How many different words can

be made from TARACHAND?Here we can see that we have 3 A.

The total number of letters is 9.

Answer: 9 ! / 3!

(take factorial of total number of letters,

and divide it by the number of letters

which are repeating).=60480 answer.


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I go for shopping with Rishabh. We

have to purchase upto 4 electronics

out of Friz,TV,Laptop, & AC. Howmany options do we have?

Formulae = 2^n -1

=2^4 -1 = 15 answer.


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In a party there are 66 handshakes.

Tell me how many persons were

present, if each shook hand witheach other?

If there are 3 members, they will shake

hands like this 1st with 2, 2nd with 1(one is already counted).

Thus when there are 6 members, thehand shakes are 5,4,3,2,1.

Similarly, when we have 12 members,we have 11+10+9+8+7+6+5+4+3+2+1hand shakes. Answer.


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I have 2 books on Finance, 3 books

on Management & 4 books on

entrepreneurship. How can I putthem on a shelf, books of a subject

must be together?

There are 3 subjects, so 3!.Finance books can be exchanged

among themselves, so 2!, similarly, for

management books, 3!, similarly forentrepreneurship books 4!.

=3!*2!*3!*4! = 1728 answer.


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How many ways can we rearrange

word SUCCESS that the vowels are

always together? There are 2 vowels E & U Let us treat these as on letter. Now we have

6 letters. There are some repeatitions,which have to be divided.

6! / (2!*3!) =60

We can interchange vowels. Which give us2 options. Thus 60 * 2 = 120 answer.


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In npr, how many factors are

there?Take any hypothetical example.

Let us say 6p2,

Here we have factors as: 6*5*4*3

Thus we have n-r factors.


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10 examination papers are arranged

in such a way that best and worst

papers never come together. Numberof arrangements is ?

Let us count those arrangements, wherebest and worst come together. These

arrangements are (10-1)!*2

Let us now count all arrangements ofthese 10 papers : 10!.

Thus our answer is 10! (9! *2)Answer.

=2903040 answer.


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The number of 4 digit numbers

greater than 5000 can be formed out

of the digit 3,4,5,6 and 7. Repeatitionis not permitted. How many options

do we have?

We have 5 digits, out of which 3 cancome in the first digit (5,6,7). Once weuse this digit, we are left with (5-1) 4digits.

For first digit we have 3 options, for nextdigit, we have 4 options, for next digit,we have 3 options and so on.

3*4*3*2* = 72 answer.


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ABOUT A FTERSCH OOOLAfterschoool conducts three year integrated PGPSE (after

class 12th along with IAS / CA / CS) and 18 month PGPSE

(Post Graduate Programme in Social Entrepreneurship)

along with preparation forCS / CFP / CFA /CMA / FRM. This

course is also available online also. It also conductsworkshops on social entrepreneurship in schools and

colleges all over India start social entrepreneurship club in

your institution today with the help from afterschoool and help

us in developing society.


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Why such a programme? To promote people to take up entrepreneurship

and help develop the society

To enable people to take up franchising andother such options to start a business / social

development project

To enable people to take up social

development as their mission To enable people to promote spirituality and

positive thinking in the world


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Who are our supporters?Afterschoolians, our past beneficiaries,

entrepreneurs and social entrepreneurs

are supporting us.You can also support us not

necessarily by money but by being

promotor of our concept and our ideas.


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About AFTERSCHOOOL PGPSE the best

programme for developing great entrepreneurs

Most flexible, adaptive but rigorous programme

Available in distance learning mode

Case study focused- latest cases Industry oriented practical curriculum

Designed to make you entrepreneurs not just

an employee

Option to take up part time job so earn while

you learn

The only absolutely free course on internet


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Workshops from

AFTERSCHOOOL

IIF, Delhi CIPS, Jaipur ICSI Hyderabad Branch Gyan Vihar, Jaipur Apex Institute of Management, Jaipur Aravali Institute of Management, Jodhpur Xavier Institute of Management,

Bhubaneshwar Pacific Institute, Udaipur Engineering College, Hyderabad


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Flexible Specialisations:

Spiritualising business and society Rural development and transformation HRD and Education, Social Development NGO and voluntary work Investment analysis,microfinance and inclusion Retail sector, BPO, KPO Accounting & Information system (with CA / CS /CMA) Hospital management and Health care

Hospitality sector and culture and heritage Other sectors of high growth, high technology and social

relevance


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Salient features:

The only programme of its kind (in the whole world) No publicity and low profile course For those who want to achieve success in life not just a

degree

Indepth knowledge and expertise Professional approac: World class approach Strong intellectual and business capabilities Flexible you may stay for a month and continue the rest of

the education by distance mode. / you may attend weekendclasses

Scholarships for those from poor economic background Latest and constantly changing curriculum keeping pace

with the time Placement for those who are interested Admissions open throughout the year

Latest and most advanced technologies, books and studymaterial


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Components

Pedagogy curriculum and approach based on IIM Ahmedabad and ISBHyderabad (the founder is alumnus from IIMA & ISB Hyderabad)

Meditation, spiritualisation, and self development Essential softwares for business Business plan, Research projects Participation in conferences / seminars Workshops on leadership, team building etc. Written submissions of research projects/articles / papers Interview of entrepreneurs, writing biographies of entrepreneurs Editing of journals / newsletters

Consultancy / research projects Assignments, communication skill workshops Participation in conferences and seminars Group discussions, mock interviews, self development diaryng Mind Power Training & writing workshop (by Dr. T.K.Jain)


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Pedagogy

Case analysis, Articles from Harvard Business Review Quiz, seminars, workshops, games,

Visits to entrepreneurs and industrial visits Presentations, Latest audio-visuals Group discussions and group projects Periodic self assessment Mentoring and counselling Study exchange programme (with institutions out of India) Rural development / Social welfare projects


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Branches

AFTERSCHOOOL will shortly open itsbranches in important cities in Indiaincluding Delhi, Kota, Mumbai, Gurgaonand other important cities.Afterschooolians will be responsible formanaging and developing these

branches and for promoting socialentrepreneurs.


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Case Studies

We want to write case studies on social

entrepreneurs, first generation

entrepreneurs, ethical entrepreneurs.Please help us in this process. Help us

to be in touch with entrepreneurs, so that

we may develop entrepreneurs.


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Basic values at afterschoool

Share to learn more Interact to develop yourself Fear is your worst enemy Make mistakes to learn Study & discuss in a group Criticism is the healthy route to mutual support

and help

Ask fundamental questions : why, when, how& where?

Embrace change and compete with yourselfonly


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www.afterschoool.tk

social entrepreneurship for better

society
http://www.afterschoool.tk/http://www.afterschoool.tk/

23 july business mathematics

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