Solve the problem.
-How many different sequences of 4 digits are possible if the first digit must be 3, 4, or 5 and if the sequence may not end in 000? Repetition of digits is allowed.

Question

Quizplus · Accepted Answer

First, calculate the total number of sequences without restrictions. With 3 choices for the first digit and 10 choices for each of the other three digits, there are 3 * 10 * 10 * 10 = 3,000 possible sequences. Subtract the sequences that end in 000, which are 3 (3000, 4000, 5000), resulting in 3,000 - 3 = 2,997 sequences.

Solve the Problem. -How Many Different Sequences of 4 Digits Are Possible If