SOLUTION: From a group of 6 girls and 7 boys, how many 5-member committees consist of :
3 girls and 2 boys?
Multiple choice answers:
a. 380
b. 240
c. 420
d. 400
Algebra ->
Permutations
-> SOLUTION: From a group of 6 girls and 7 boys, how many 5-member committees consist of :
3 girls and 2 boys?
Multiple choice answers:
a. 380
b. 240
c. 420
d. 400
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You can put this solution on YOUR website! There are list of 2 boys that you could make from the 7 available boys,
but each group of 2 would appear in different order in different lists,
so the number of sets of 2 boys that you can pick is .
There are list of 3 girls that you could make from the 6 available girls,
but each group of 3 girls would appear in different order in different lists,
so the number of sets of 3 girls that you can pick is .
Considering that the the choices of girls sets and boys sets are independent,
you would have different ways to form
5-member committees consisting of 3 girls and 2 boys.
You select 3 girls from 6 girls by = = 5*4 = 20 ways.
You select 2 boys from 7 boys by = = 7*3 = 21 ways.
Since the selections are independent inside each group, the total number of ways is the product 20*21 = 420 ways. ANSWER
