Assuming that each letter can appear at most once in an arrangement, how many ways are...

Assuming that each letter can appear at most once in an arrangement, how many ways are there to arrange 10 letters taken from the alphabet a-z such that:

a) Both a and z are included in the arrangement?

b) Exactly one of a and z appears in the arrangement? The intention here is that exactly one element from the set {a,z} appears in the string. So, abcdefghij and bcdezfghij are OK, but abcdezfghi is not.

c) z and a appear and are adjacent to each other in the arrangement?

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Expert Solution

orchestra answered 1 year ago

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