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One professor grades homework by randomly choosing 5 out of 14 homework problems to grade. (a)How...

One professor grades homework by randomly choosing 5 out of 14 homework problems to grade.

(a)How many different groups of 5 problems can be chosen from the 14 problems? (Enter an exact number.)
groups

(b)Probability extension: Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded? (Enter a number. Round your answer to four decimal places.)

(c) Silvia did 7 problems. How many different groups of 5 did she complete? (Enter an exact number.)
groups

What is the probability that one of the groups of 5 she completed comprised the group selected to be graded? (Enter a number. Round your answer to four decimal places.)

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