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.
A) 2,999
B) 2,997
C) 1,512
D) 2,000

Question

Quizplus · Accepted Answer

The total number of sequences without restrictions is 3 (choices for the first digit) * 10 (choices for the second digit) * 10 (choices for the third digit) * 10 (choices for the fourth digit) = 3,000. However, we must subtract the sequences that end in 000, which are 3 (one for each possible first digit: 3, 4, or 5). Therefore, the total number of possible sequences is 3,000 - 3 = 2,997.

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