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5. There are 18 members in a club. Six people are selected to go to the state conference. In how many ways can the six members be selected?

User Oksana
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1 Answer

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Final answer:

The number of ways to select six members from a group of 18 is 18,564.

Step-by-step explanation:

To find the number of ways to select six members from a group of 18, we can use the formula for combinations. The formula for combinations is nCr = n! / (r! * (n-r)!), where n is the total number of items and r is the number of items to be selected.

Using this formula, we can calculate the number of ways to select six members from a group of 18: 18C6 = 18! / (6! * (18-6)!) = 18*17*16*15*14*13 / (6*5*4*3*2*1) = 18,564 ways.

User Esseara
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