Suppose a lot contains 2n objects of which n are identical.…

Maths Permutations & Combination Definition of Combinations, Condition Combinations, Division into Groups, Derangements Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Suppose a lot contains 2n objects of which n are identical. The number of ways to select n objects out of these 2n objects must be-

2 n

The number of possible subsets {a 1 , a 2 , ....,a n }

None of these

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(a, b, c)

We can take 0 identical and n distinct, 1 identical and n–1 distinct; 2 identical and n–2 distinct and so on.......

∴ total no. of solutions = = 2 n ⇒ is true

No. of possible subsets of a set containing n elements is 2 n and 2n+1 C 0 + 2n+1 C 1 + 2n+1 C 2 +....
....+ 2n+1 C n = 2 2n ⇒ & are also true.

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