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NDA 2011

Exam: NDA
Year: 2011
Subject: Mathematics
Chapter: Permutation and Combination

NDA 2011 · Mathematics · Permutation and Combination

What is the total number of combinations of n different things...

What is the total number of combinations of

n

different things taken

1,2,3, \ldots, n

at a time?

Options

A $2^{n+1}$
B $2^{2 n+1}$
C $2^{n-1}$
D $2^n-1$

Correct answer

D. $2^n-1$

Step-by-step solution

The correct answer is option (D).

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