One professor grades homework by randomly choosing 6 out of 12 homework problems to grade. (a) How many different groups

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One professor grades homework by randomly choosing 6 out of 12 homework problems to grade. (a) How many different groups

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One professor grades homework by randomly choosing 6 out of 12homework problems to grade.
(a) How many different groups of 6 problems can be chosen fromthe 12 problems?
(b) Probability extension: Jerry did only 6 problems of oneassignment. What is the probability that the problems he didcomprised the group that was selected to be graded? ( Round youranswer to four decimal places.)
(c) Silvia did 8 problems. How many different groups of 6 didshe complete?
What is the probability that one of the groups of 6 shecompleted comprised the group selected to be graded ( round youranswer to four decimal places)
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