1
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Question

# The number of selection of n objects from 2n objects of which n are identical and the rest are different is

A
2n
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B
2n1
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C
2n1
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D
2n1+1
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Solution

## The correct option is A 2nIf all the n objects are chosen from n identical objects, then number of ways is nC0 If n−1 objects are chosen from n identical objects and 1 from n diferent objects, then number of ways is nC1 Similarly, If n−2 objects are chosen from n identical objects and 1 from n diferent objects, then number of ways is nC2 Therefore, total number of ways is, nC0+ nC1+ nC2+...+ nCn=2n

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