Question:
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 ?
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 ?
Updated On: Oct 10, 2024
- 9
- 18
- 31
- 46
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The Correct Option is D
Solution and Explanation
Number of ways of selecting one or more friends from 5 friends
\(=5C_1+5C_2+5C_3+5C_4+5C_5\)
\(=5+10+10+5+1=31\) ways
Number of ways of selecting one or more friends from 4 friends
\(=4C_1+4C_2+4C_3+4C_4\)
\(=4+6+4+1=15\) ways
Total ways \(=31+15=46\) ways
The correct option is (D)
\(=5C_1+5C_2+5C_3+5C_4+5C_5\)
\(=5+10+10+5+1=31\) ways
Number of ways of selecting one or more friends from 4 friends
\(=4C_1+4C_2+4C_3+4C_4\)
\(=4+6+4+1=15\) ways
Total ways \(=31+15=46\) ways
The correct option is (D)
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