A committee of 4 persons is to be formed from 2 ladies, 2 old men and 4 young men such that it includes at least 1 lady, at least 1 old man and at most 2 young men. Then the total number of ways in which this committee can be formed is :

Question

Quantrex Academy · Accepted Answer

Correct answer: B. 41

Required number of ways aligned & = ^2 C ₁ ^2 C ₁ ^2 C ₂+ ^2 C ₁ ^2 C ₂ ^4 C ₁+ ^2 C ₂ & ^2 C ₁ ^4 C ₁+ ^2 C ₂ ^2 C ₂ ^4 C ₀ & =2 2 4 3 2 & 2 1 4+1 2 4+1 1 1 aligned

A committee of 4 persons is to be formed from 2 ladies, 2 old men and 4 young men such that it includes at least 1 lady, at least 1 old man and at most 2 young men. Then the total number of ways in which this committee can be formed is :

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