SOLUTION: While on a picnic, you and four friends decide to ride the paddle boats. You find that only one paddle boat is available to rent. 3 People can ride at one time. How many differen

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Question 139626: While on a picnic, you and four friends decide to ride the paddle boats. You find that only one paddle boat is available to rent. 3 People can ride at one time. How many different sets of 3 people can be chosen from your group to ride the paddle boat?
I think the answer is 10 by listing all the groups. But I don't know if there is a formula to solve this.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
While on a picnic, you and four friends decide to ride the paddle boats. You find that only one paddle boat is available to rent. 3 People can ride at one time. How many different sets of 3 people can be chosen from your group to ride the paddle boat?
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5C3 = 5!/[(5-3)!*3!] = 5*4*3/1*2*3 = 20/2 = 10
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5C3 is " the number of sets of 3 in a group of 5"
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You have it right.
Cheers,
Stan H.