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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

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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.

This problem has been solved

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