Maths Maths Puzzle Numerical Ability

How many different committees can be formed of 10 professionals each containing at least 4 professors, at least 3 GM and 3 FA from list of 10 professors,12 GM, 5 FA.

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Maths Other Question

B takes 12 days more than A to complete the worK. A and B started the work.A leaves the job 12 days before completing the work and B finishes only 60 %.in how many days B will finissh the work There are two mutually exclusive events A and B with P(A) = 0.5 and P(B)=0.4 . Find the Probability of following
a. A does not occur
b. Both A and B does not occur
c. Either A or B does not occur