JEE Math Practice Question
Let M be the maximum value of the product of two positive integers when their sum is 66. Let the sample space $$S = \left\{ {x \in \mathbb{Z}:x(66 - x) \ge {5 \over 9}M} \right\}$$ and the event $$\mathrm{A = \{ x \in S:x\,is\,a\,multiple\,of\,3\}}$$. Then P(A) is equal to :
- A.$$\frac{1}{3}$$
- B.$$\frac{1}{5}$$
- C.$$\frac{7}{22}$$
- D.$$\frac{15}{44}$$
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