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Standard XII

Mathematics

Substitution Method to Remove Indeterminate Form

Find the numb...

Question

Find the number of ways to give 16 different things to three persons A,B,C so that B gets 1more thanA and C gets 2 more than B

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Solution

let the items given to A be x
B = A + 1 = x + 1
C = B + 2 = x + 1 + 2 = x + 3

A + B + C = 16
3x + 4 = 16
x =4
therefore A = 4 B = 5 C = 7

number of ways to distribute = 16!/(4! x 5! x 7!)

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Find the number of ways to give 16 different things to three persons A,B,C so that B gets 1more thanA and C gets 2 more than B

let the items given to A be x B = A + 1 = x + 1 C = B + 2 = x + 1 + 2 = x + 3 A + B + C = 16 3x + 4 = 16 x =4 therefore A = 4 B = 5 C = 7 number of ways to distribute = 16!/(4! x 5! x 7!)

let the items given to A be x
B = A + 1 = x + 1
C = B + 2 = x + 1 + 2 = x + 3

A + B + C = 16
3x + 4 = 16
x =4
therefore A = 4 B = 5 C = 7

number of ways to distribute = 16!/(4! x 5! x 7!)