First slide

Permutations

Question

The number of ways in which n distinct objects can be put into two different boxes, is

Easy

A

$n^{2}$
B

$2^{n}$
C

2n
D

none of these

Solution

Let the two boxes be B₁ and B₂. There are two choices for each of then objects. So, the total number of ways is $2 \times 2 \times \dots \times 2 = 2^{n}$
n-times

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