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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?
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Explanation:
A man invites the friends
= 5C1+5C2+5C3+5C4+5C5
= 2^5−1 = 31 ways
His wife invites the friends
= 4C1+4C2+4C3+4C4
= 2^4−1 = 15 ways
Therefore, Total number of ways = 31 + 15 = 46 ways.