Camy made a list of every possible distinct five-digit positive integer that can be formed using each of the digits 1, 3, 4, 5 and 8 exactly once in each integer. What is the sum of the integers on Camy's list?

Guest May 1, 2022

#1**+1 **

I hope this is correct. (This is my first question or answer on this site! I'm in 8th grade and got 17 on the AMC 8 and got 78th place in Virginia in state Mathcounts.)

There are 5!=120 possible combinations of those 5 digits. The smallest is 13458 and the largest is 85431. Simply add the two numbers and multiply the sum by 60. 60(13458+85431) = **5933340**.

Guest May 1, 2022

edited by
Guest
May 1, 2022

edited by Guest May 1, 2022

edited by Guest May 1, 2022

#1**+1 **

Best Answer

I hope this is correct. (This is my first question or answer on this site! I'm in 8th grade and got 17 on the AMC 8 and got 78th place in Virginia in state Mathcounts.)

There are 5!=120 possible combinations of those 5 digits. The smallest is 13458 and the largest is 85431. Simply add the two numbers and multiply the sum by 60. 60(13458+85431) = **5933340**.

Guest May 1, 2022

edited by
Guest
May 1, 2022

edited by Guest May 1, 2022

edited by Guest May 1, 2022