Please answer all questions 1 In how many ways can 7 people

Please answer all questions.

1) In how many ways can 7 people each have different birth months?

2)A group of 12 friends goes bowling. How many different possibilities are there for the order in which they play if the youngest person is to bowl first?

Solution

Q. No. 1

The first person can have birthday in any of 12 months. The second person can have birthday in any of 11 months. The third person can have birthday in any of 10 months. The fourth person can have birthday in any of 9 months and so on..

12*11*10*9*8*7*6=3991680

Q. No.2

In group of 12person, the first person is fixed the youngest person. There is just one way for the first person to bowl.. The second person to bowl can be any of the 11 persons.

1*11!=39916800