Question

A man has 7 friends and he wants to invite 3 of them at a party.Find how many parties to each of 3 different friends he can give and how many times any particular friend will attend the parties

Answer 1

Answer:

35 Parties

15 times

Step-by-step explanation:

Man has 7 friends

he can invite three friends

Number of ways he can invite = ⁷C₃  = 7!/(3!4!)

= 7 * 6 * 5 / (3 * 2)

= 35

35 Parties he can give

He parties has 3 invitees

so total invitees = 35 * 3 = 105

7 friend will attend  total 105  

1 friend will attend = 105/7 = 15

Any particular friend will attend party 15 times