How many ways can Pete, Mary, Sue, and Joe stand in a line if Joe and - ProProfs Discuss
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How many ways can Pete, Mary, Sue, and Joe stand in a line if Joe and Sue cannot stand next to each other?

This question is part of SAT Math Questions
Asked by Proprofs, Last updated: Apr 14, 2020

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proprofs

Proprofs

Answered Sep 19, 2018

18

The strategy here is to count: Number of ways = Total number of ways that PMSJ can stand together - Number of ways that SJ stand next to eachother The total number of ways that PMSJ can stand next to each other is equal to 4! = 4321 = 24. The number of ways that SJ will end up standing next to eachother is 6: (SJPM, PSJM, PMSJ, JSPM, PJSM, PMJS) So, 24 - 6 = 18 ways.
 

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