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Write the number of ways in which a host lady can invite for a party of 8 out of 12 people of whom two do not want to attend the party together.

Write the number of ways in which a host lady can invite for a party of 8 out of 12 people of whom two do not want to attend the party together.

Grade:12

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
6 years ago
Dear student,
Lets say A and B do not want to attend party together

Take three cases,
1. A and 7 others attend the party → 10C7
2. B and 7 others attend the party → 10C7
3. A and B both dnt attend, so choose 8 out of 10 → 10C8

Thanks

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