# SOLUTION: 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.

Algebra ->  Algebra  -> Permutations -> SOLUTION: 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.      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Combinatorics and Permutations Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Permutations Question 202890: 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.Answer by dyakobovitch(40)   (Show Source): You can put this solution on YOUR website!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. Your first digit is 3, 4, or 5. Assume we have four blanks. Our number is _ _ _ _. The first digit has 3 possibilities. We will multiply possibilities to get our total number of permutations. Since numbers can repeat, our possibilities are 3 x 10 x 10 x 10, or 3,000 total permutations. However, since we can't end in 000, we know that 3,000, 4,000, and 5000 are not possible. Therefore, our answer is 3,000 - 3 or 2,997 permutations. -- David