Maths Permutations & Combination Definition of Combinations, Condition Combinations, Division into Groups, Derangements Single Correct MCQ
Published on: August 14, 2026

There are 10 pairs of shoes on a cup board. The no. of ways can 4 shoes be selected so that there is no pair is

A
B
C
D

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Text Solution

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The correct answer is:
A

Method I: No. of ways selecting 4 pairs = 10 C 4 .

From each pair we can select left or right shoe.

For each pair there are 2 choices.

For 4 pairs we have 2 4 choices.

∴ ∴ Total no. of ways = 10 C 4 .2 4 .

Method II: = .

Method III: =

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