# SOLUTION: Anothe one that is confusing to me. Thank you for your help! THIS IS A HARD ONE! Solve any way and show work. How many 3-digit numbers are possible using 2,3,5, or 7 if you DO

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: Anothe one that is confusing to me. Thank you for your help! THIS IS A HARD ONE! Solve any way and show work. How many 3-digit numbers are possible using 2,3,5, or 7 if you DO      Log On

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 34935: Anothe one that is confusing to me. Thank you for your help! THIS IS A HARD ONE! Solve any way and show work. How many 3-digit numbers are possible using 2,3,5, or 7 if you DO NOT repeat digits?Answer by longjonsilver(2297)   (Show Source): You can put this solution on YOUR website!OK long way first: 235 325 523 723 237 327 527 725 253 352 532 732 257 357 537 735 273 372 572 752 275 375 573 753 there are no other 3 digit numbers made up from 2,3,5 or 7. So... "quick" method: Think of the number like ABC... how many numbers could be placed in position A? Answer any of the 4. OK, so we have a number in position A. Whatever it is, we now have 3 numbers left to put into position B, so altogether we have 4*3 possibilities. And finally we have 2 numbers to put into position C, so altogether we have 4*3*2 permutations --> 24. Count the number of examples i wrote at the start: there are 24 different 3 digit numbers. jon