SOLUTION: If you were to solve at least 1 but at most 5 problems from this set of 10 problems, how many problem subsets are there that may be solved?

SOLUTION: If you were to solve at least 1 but at most 5 problems from this set of 10 problems, how many problem subsets are there that may be solved?

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Question 1096555: If you were to solve at least 1 but at most 5 problems from this set of 10 problems, how many problem subsets are there that may be solved?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
10 ways 10C1 to solve 1 problem
45 ways or 10C2 to solve 2.
120 ways to solve 3 problems 10!/3!7!
210 ways to solve 4 problems, 10!/4!6!
252 ways to solve 5 problems or 10C5 or 10!/5!5!
637 subsets.
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