Six very good friends decide they will have lunch together ecery day . In how many different ways can they line up in the line ?
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Any one of the 6 could be first in line . For each person who is first are 5 who could be second this means there are 30(6.5) ways of choosing the first two people .For each of these 30 ways , there are 4 ways of choosing the third person .This makes 120 (30.4 ) ways of choosing the first 3 people .Continuing in this fashion , there are 6.5.4.3.2.1=720 ways these 6 friends can stand in the vafeteria line fashion .(This means that if they all have perfect attendanuse for 4 year of high school . they could stand in line in a different order every day , because 720=4.180)
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Updated on:21/07/2023
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