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Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationnPr & nCrMedium2 minQB

MathematicsMediumsingle choice

A man has 7 relatives, 4 women and 3 men. His wife also has 7 relatives, 3 women and 4 men. The number of ways in which they can invite 3 men and 3 women so that they both invite three each is

Options:

Answer:

Solution:

$^{4} C_{3} \cdot^{4} C_{3} +^{3} C_{1} \cdot^{4} C_{2} \cdot^{4} C_{2} \cdot^{3} C_{1} +^{3} C_{2} \cdot^{4} C_{1} \cdot^{4} C_{1} \cdot^{3} C_{2} +^{3} C_{3} \cdot^{3} C_{3} = 435$

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:nPr & nCr

⏱ 2mℹ️ Source: QB

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