SOLUTION: For a class field trip, 12 parents volunteered to be the chaperones. If a group of 5 parents is needed for the trip, how many groups can be chosen? SHOW YOUR WORK
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Question 1082313: For a class field trip, 12 parents volunteered to be the chaperones. If a group of 5 parents is needed for the trip, how many groups can be chosen? SHOW YOUR WORK
Found 2 solutions by josmiceli, jorel1380:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
For any given group, the order is unimportant.
This means combinations and not permutations
are used.
C( 12,5 ) =
There are 792 ways to choose different groups
of 5 parents from 12 volunteers
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
12 parents, chosen 5 at a time, equals 12 choose 5, or 792. Checking to see, we get:
12 choose 5=12!/7!5!=12x11x10x9x8x7!/5x4x3x2x1x7!=95040/120=792 ☺☺☺☺
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