An English club has 17 players on their squad of which 9 are English players and 8 are foreign players. How many different teams can be selected if the playing eleven has to have 5 English players and 6 foreign players?
3528
There are 9! / (5! * (9-5)!) = 126 combinations of English players and 8! / (6! * (8 - 6)!) =28 combinations of foreign players. Number of different teams--> 126*28= 3528
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If you have sticks which measure 1, 2, 3, 4, 5, 6, 7, 8 and 9 cm (one of each). How many different triangles can you make using three of the sticks?
There are 5 mangoes and 6 bananas. In how many different ways can a selection of fruits be made if all fruits of same kind are numbered with different tags.
