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1) If X is an n-element set and Y is an m-element set, how many functions are there from X to Y?

I am not sure but I worked on this for a while and I come up with there are m^n possible functions.

2) There are five distinct computer science books, three distinct mathematics books and two distinct art books. In how many ways can these books be arranged on a shelf if the two art books are not together?

I get 10!-8!*9*2=2903040 possibilities.

3) X={5,6,7,...,198,199,200} How many numbers in X consist of distinct digits?

I cannot for the life of me figure this monster out.... :yuck:

Please help me get started here....

Regards

I am not sure but I worked on this for a while and I come up with there are m^n possible functions.

2) There are five distinct computer science books, three distinct mathematics books and two distinct art books. In how many ways can these books be arranged on a shelf if the two art books are not together?

I get 10!-8!*9*2=2903040 possibilities.

3) X={5,6,7,...,198,199,200} How many numbers in X consist of distinct digits?

I cannot for the life of me figure this monster out.... :yuck:

Please help me get started here....

Regards

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