Answer :
the 165 different committees are possible in combination.
What is combination?
If the order of the selections is unimportant, a combination is a mathematical choice made from a collection of various elements (unlike permutations). An apple and a pear are just one of three conceivable combinations if three fruits, such as an orange, an apple, and a pear, are provided. A k-combination of a set S is, technically speaking, a subset of the k distinctive elements of S. Alternatively said, two combinations are identical if and only if they have the same members. (How each set's members are ordered is not crucial.) the number of k-combinations given a set of n elements
That would be equal to the Combinations of 11 items taken 3 at a time.
C(n , k) = n!/[k!(n - k)!]
= 11!/[3!*(11 - 3)!]
= 11!/(3!*8!)
= 11*10*9/3*2
= 15*11
=165
Hence the 165 different committees are possible in combination.
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