SOLUTION: A student is required to work exactly 7 problems from a 14-problem exam and must work exactly 3 of the first 4 problems. In how many ways can the seven problems be chosen?
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Question 351470: A student is required to work exactly 7 problems from a 14-problem exam and must work exactly 3 of the first 4 problems. In how many ways can the seven problems be chosen? Answer by sudhanshu_kmr(1152) (Show Source):
You can put this solution on YOUR website! No. of ways to choose 3 of the first 4 problems = 4C3 = 4
now he have to choose 4 from remaining 10 problems.
so, no. of ways to choose 4 = 10C4 = 210
total no. of ways to choose problems = 4*210 = 840
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