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A Man Has 5 Friends and His Wife Has 4 Friends. They Want to Invite Either of Their Friends, One Or More to a Party. in How Many Ways Can They Do So? - Mathematics

MCQ

A man has 5 friends and his wife has 4 friends. They want to invite either of their friends, one or more to a party. In how many ways can they do so?

Options

  • 9

  • 18

  • 31

  • 46

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Solution

46
Explanation:
A man can invite the friends in
`""^5C_1+""^5C_2+""^5C_3+""^5C_4+""^5C_5`
= `2^5-1=31` ways
His wife can invite the friends in
`""^4C_1+^""4C_2+""^4C_4+""^4C_4`
= `2^4-1=15` ways
∴ Total number of ways = 31 + 15 = 46

Concept: Permutation and Combination (Entrance Exam)
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