Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5,...

Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.

(a)

How many strings of hexadecimal digits consist of from one through four digits?

(b)

How many strings of hexadecimal digits consist of from two through five digits?

Expert Solution

Multiplication rule: if an operation consists of k steps. where the first step can be performed in n1 ways, second step in n2 ways and the kth step in nk ways ,
then the operation can be performed in n1*n2*...*nk ways

Addition rule : If a finite set A is the union of k distinct mutually disjoint subset A1, A2, ... ,Ak, then :
N(A)=N(A1)+N(A2)+N(A3)+...+N(Ak)

If you need any further clarification regarding this problem feel free to comment below

Colby Messinger answered 1 year ago

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