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Combinatorics and Graph Theory
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In a group of 10 people, how many different ways can you select a committee of 4 people?
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A
210
💡 Explanation:
This is a classic combinatorics problem involving combinations. The formula for combinations is C(n, r) = n! / (n-r)!, where n is the total number of items and r is the number of items to be selected. In this case, n = 10 and r = 4, so C(10, 4) = 10! / (10-4)! = 10! / 6! = 210.