deber2_marco_aguirre.pdf

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  • 8/17/2019 DEBER2_Marco_Aguirre.pdf

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    (i) {a,b,c,d,e }P 5 = 5! = 120(ii ){ab,c,d,e }P ii = 4 · 3!·2! = 120

    {red, red, red, red, blue, blue, green, green }

    Maneras = 8!4! ·2! ·2! = 420

    (i)M = 10 · 10· 10 = 1000

    (ii )M = 10 · 9 · 8 = 720

    (iii )M = 10 · 10· 10 = 1000

    (iv )M = 10 · 9 · 8· 7· 6 = 30240

    (i)S = {E,L ,E ,V,E ,N }

    M E = 6!3! = 120

    (ii )S 2 = {L,E ,V,N }

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    C ii = 4 = 24

    (iii )S 2 = {L,V,N }C ii = 3 = 6

    (iv )S 2 = {E,E ,L ,V,N }

    P (4, 2) = 12

    (i) 1310 = 286

    (ii ) 118 = 165

    (iii ) 127 = 220

    (iv ) 53 87 =80

    (v) 5

    3

    8

    7+ 5

    4

    8

    6+ 5

    5

    8

    5=276

    12!3! · 3! · 3! · 3! = 369600

    14!3! · 3! · 2! · 2! = 369600

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