in any triangle ABC \( \frac { (sin^2 A +sin A +1) }{sin A} ( \frac { (sin^2 B +sin B +1) }{sin B} ( \frac { (sin^2 C +sin C +1) }{sin C} \) is always greater than

a 9 b 27 c 3 d 18

The number of ordered pairs of positive integers (m,n) satisfying \( m \leq {2n} \leq 60 \) and \( n \leq {2m} \leq 3 \) is

a 240 b 480 c 900 d none of these

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