# A group of campers is going to occupy 3 campsites at a campground. There are 17 campsites from which to choose. In how many ways can the campsites be chosen?

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Answer:Campsites be chosen in 680 ways.Step-by-step explanation:Given:Number of campsites= 17Number of campsites that are to be occupied=3To Find:Number of ways can the campsites be chosen=?Solution:Combination:In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.nCr = n(n - 1)(n - 2) ... (n - r + 1)/r! = n! / r!(n - r)!No of ways in which campsites can be chosen= [tex]\frac{17!}{3!(17-3)!}[/tex]17C3
=>[tex]\frac{17!}{3!(14!)}[/tex]=>[tex]\frac{15\times16\times17}{3\times 2\times 1}[/tex]=>[tex]\frac{4080}{6}[/tex]=>680
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