In how many ways can 6 people be lined up to get on a bus?

1 Answer
Alan P.
Jan 27, 2016

#6! = 720#

Explanation:

#6# choices for the first person;
#color(white)("XX")#for each of these, #5# choices for the next;
#color(white)("XXXX")#for each of these, #4# choices for the next;
#color(white)("XXXXXX")#for each of these, #3# choices for the next;
#color(white)("XXXXXXXX")#for each of these, #2# choices for the next;
#color(white)("XXXXXXXXXX")#for each of these, #1# choice for the last person.

#6xx5xx4xx3xx2xx1 = 6! = 720#

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