From 5 faculty members and 4 students, a committee of 3 is to be chosen that least 2 faculty members are there. In how many ways can this be done?
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The number of ways to choose a committee of 3 people from a group of 5 people = ⁵C₃ = 5 !/[3 ! (5 - 3) !]
= 5 × 4 × 3 !/3 ! 2
= (5 × 4) /2 !
= 20/2 × 1
= 10
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