How many group combinations of 3 can I make of 6 people?A.30B.20C.60D.10
Question
How many group combinations of 3 can I make of 6 people?A.30B.20C.60D.10
Solution
To solve this problem, we need to use the combination formula, which is used when the order of selection does not matter. The formula is:
C(n, k) = n! / [k!(n-k)!]
Where:
- n is the total number of items (in this case, 6 people)
- k is the number of items to choose (in this case, 3 people)
- "!" denotes a factorial, meaning the product of all positive integers up to that number.
Substituting these into the formula gives:
C(6, 3) = 6! / [3!(6-3)!] = (654) / (321) = 20
So, the correct answer is B. 20.
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