In how many ways can 6 apples be distributed | vedclass

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(A) Each of the $6$ apples is distinct in the sense that it can be assigned to any of the $3$ boys.For the first apple,there are $3$ choices of boys.F

Vedclass · Accepted Answer

$729$

Vedclass · Answer

(A) Each of the $6$ apples is distinct in the sense that it can be assigned to any of the $3$ boys.For the first apple,there are $3$ choices of boys.For the second apple,there are $3$ choices of boys.This process continues for all $6$ apples.Since each apple can be distributed independently,the total number of ways is $3 	imes 3 	imes 3 	imes 3 	imes 3 	imes 3 = 3^{6}$.Calculating the value,$3^{6} = 729$.

In how many ways can $6$ apples be distributed among $3$ boys,there being no restriction to the number of apples each boy may get?

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