One professor grades homework by randomly choosing 5 out of 12 homework problems to grade.
(a) How many different groups of 5 problems can be chosen from the 12 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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