Question

A man has seven friends in how many ways he can invite one or more of them for a tea party

Answer 1

Answer:

Step-by-step explanation:

He can invite one or more friends by inviting 1 friend, or 2 friends or 3 friends, or all the 6 friends.

1 friend can be selected out of 6 in 6C1 = 6 ways

2 friends can be selected out of 6 in 6C2 = 15 ways

3 friends can be selected out of 6 in 6C3 = 20 ways

4 friends can be selected out of 6 in 6C4 = 15 ways

5 friends can be selected out of 6 in 6C5 = 6 ways

6 friends can be selected out of 6 in 6C6 = 1 way

Therefore the required number of ways (combinations) = 6 + 15 + 20 + 15 + 6 + 1 = 63.