Question: This problem involves lists made from the letters T,H,E,O,R,Y, with repetition allowed. (a) How many 4-letter lists are there that don't begin with T, or

This problem involves lists made from the letters T,H,E,O,R,Y, with repetition allowed.

(a) How many 4-letter lists are there that don't begin with T, or don't end in Y?

(b) How many 4-letter lists are there in which the sequence of letters T,H,E appears consecutively (in that order?

(c) How many 6-letter lists are there in which the sequence of letters T,H,E appears consecutively (in that order)?

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