I like comedies, animations, and sci fi. A video stores has release wall has 7 sci fi, 2 westerns, 9 suspense, 3 foreign, 12 animation, 4 dramas and 10 comedies. How many way can i choose 3 movies if
b) I must choose one of each type?
c) No more than two of the movies can be sci fi.
b) 12C1 x 10C1 x 7C1 = 12 x 10 x 7 = 840 ways
c) 7C2 = 21 ... 42C3 + 21 = 11501 ways
Using all the digits 0,1,2,3,4,5, how many #s less than 4million, and not divisible by either two or five, can be created?
5 x 5 x 4 x 3 x 2 x 1 x 3 = 1800 # can be created
What does B intersect (A union C)
A intersect B' intersect C
(A union C)' intersect B
look like in a Venn Diagram?
How many ways can you make change from $100 bill using only $5 bills and $20 bills?
=2^5 = 32
These are my attempt at these questions, which I don not have the answers to. I would like someone to check if I have done something wrong or if I was on the right track, thank you!