self Maths Puzzle

A box contains 3 different White balls, 4 different Blue balls, 5 similar Green balls. In how many ways can 3 balls be drawn the box so that at least 1 blue ball is always included in the draw?

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self Other Question

For an examination, a candidate has to select 7 subjects from three different groups X, Y and Z which contain 5, 6 and 4 subjects respectively. In how many different ways can a candidate make his selection if he has to select at least 2 subjects from each group? Out of 3 mathematics books, 4 science books, and 5 literature books (all are different), how many different collections can be made by taking atleast one of each kind?