Question

Consider sequences of n numbers, each in the set {1, 2, . . . , 6}...

Consider sequences of n numbers, each in the set {1, 2, . . . , 6}

(a) How many sequences are there if each number in the sequence is distinct?

(b) How many sequences are there if no two consecutive numbers are equal

(c) How many sequences are there if 1 appears exactly i times in the sequence?

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