Campus Maths Puzzle Category

7 members have to be selected from 12 men and 3 women ,Such that no two women can come together .
In how many ways we can select them ?

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Campus Other Question

What is the number of ways of expressing 3600 as a product of three ordered positive integers (bca, abc etc. are counted as distinct). for example, the number 12 can be expressed as a product of three ordered positive integers in 18 differnt ways.
(A) 441
(B) 540
(C) 84
(D) 2100 what is the greatest power of 35 that can be devide by 116!