A bagel shop has 8 kinds of bagels. How many ways to choose?

a) six bagels
13!/6!7! = 1716

b) a dozen bagels
19!/12!7! = 50388

c) two dozen bagels
31!/24!7! = 2,629,575

d) a dozen with a least 1 of each
11!/4!/7! = 330

e) a dozen with a least 3 egg bagels and at most two salty
0 salty
15!/9!6! = 5005
1 salty
14!/8!6! = 3003
2 salty
13!/7!6! = 1716
5005 + 3003 + 1716 = 9724