Answer to Question #34134 in Combinatorics | Number Theory for muler

Question #34134

in how many ways can a committee of 5 be formed from agroup of 11 people consisting of 4 teachers and 7 students if
- there is no restriction in the selection?
- the committee must include exactly 2 teachers?

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1. if a, b, c are any three integers such that (a,c)=1 and (b,c)=1, then show that (ab,c)=1.
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