Out of 5 mathematics teachers and 7 English teachers a committee consisting of 2 mathematics teachers and 3 English teachers is to be formed. In how many ways can this be done if any of the mathematics teachers and any English teachers can be chosen ?

- maggiemagnet
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odail wrote:Out of 5 mathematics teachers and 7 English teachers a committee consisting of 2 mathematics teachers and 3 English teachers is to be formed. In how many ways can this be done if any of the mathematics teachers and any English teachers can be chosen ?

You have 5 math teachers and need to pick 2 and the order doesn't matter, so it's a combination. Do the "5 choose 2" formula. Do the same kind of thing for the 7 English teachers. (You can review, with some practice problems, here.)