A sport team of 11 students is to be constituted, choosing at least 5 from class XI and at least 5 from class XII. If there are 20 students in each of these classes, in how many ways can the teams be constituted?
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As we have to select atleast 5 students out of one class and the remainaig should be selected from the other class so we first select 6 students from XI and then from class XII as follows 20combination(5)·20combination(6)+20combination(6)·20combination(5) 600935040+600935040 1201870080