Maths Maths Puzzle Numerical Ability Profit and Loss

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

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Maths Other Question

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. How many Ways are there to distribute 15 distinct objects into 5 distinct boxes with
a. at least three empty boxes
b. No Empty box