How many different groups of 5 problems

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One professor grades homework by randomly choosing 5 out of 10 homework problems to grade.

(a)  How many different groups of 5 problems can be chosen from the 10 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.)

Reference no: EM132286160

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