There are 7 students in a class: 5 boys and 2 girls. If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?
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Answer:
The probability that everyone in the group is a boy is given by
5
C
4
7
C
4
=
(
5
4
)
(
7
4
)
=
5
×
4
×
3
×
2
×
1
7
×
6
×
5
×
4
=
1
7
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