the question that follows is quite common in Combinatorics and all the maths books arrive at the answer through a single method. i have never seen any variations so far.
however, that method of arriving at the answer is not how you would deal with the problem in real life.
how would YOU solve it?
A class contains 12 boys and 10 girls. From the class 10 students are to be chosen for a competition under the condition that atleast 4 boys and atleast 4 girls must be represented. The 2 girls who won the prizes last year should be included. In how many ways can the selection be made?
Instead of giving a numeric answer, i would like to know how you approach the problem..