A Obama would like to visit all 20 schools The order that he

A) Obama would like to visit all 20 schools. The order that he visits the schools matters. How many ways can he do this?

B) Obama would like to visit only eleven schools. The order that he visits the schools matters. How many ways can he do this?

C) Obama would like to visit only eleven schools. The order that he visits the schools does not matter. How many ways can he do this?

D) Obama would like to visit schools eleven times. He does not mind if he repeats schools (but each visit counts towards the eleven visits). The order that he visits the schools matters. How many ways can he do this

E) Exactly twelve of the schools are on the East Coast. How many ways can Obama visit exactly five East Coast schools and six other schools? The order that he visits the schools does not matter.

Solution

a)

20 C 20 = 1

b)

20 C 11 = 167960

c)

20 P 11 =6.70x10^12

for the other literals I can gladly help you but you should post it in a new question