permutation

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Page 1: Permutation
Page 2: Permutation

REFERS TO A SET OF OBJECTS ARRANGED IN A DEFINITE ORDER.

Page 3: Permutation

Example: In how many ways can three books statistics, algebra and biology be arranged on a shelf?solution:P=n!P=3! = 6ways(3 x 2=6)

Note: you may use also your scientific calculator by entering the number and press the sign !

Page 4: Permutation

Example: How many 5 letter words can be formed from the word FORMALITY?

Solution: = 9! (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2=362,880)(9-5)! (4 x 3 x 2 =24)

= 15, 120 words

Page 5: Permutation

Example: How many ways can 4 red flags, 3 blue flags and 2 white flags be arranged on a line?

Solution:P= 9! = 362880

4! 3! 2! (24)(6)(2)P= 1260 ways

Page 6: Permutation

Example: In how many ways can 8 guests be seated in a round table with 8 chairs?

Solution: P= (8-1)!= 7! = 5, 040 ways