A store sells 7 different types of items: mugs, t-shirts, books, postcards, hats, socks and sweaters. There are 6 customers in the store and they cach buy one type of item at random. Calculate the probability that a) The customers cach purchase a different type of item. b) No customer purchases books or postcards. c) At least four customers purchase a mug. d) Three customers purchase the same type or nem and the other three customers purchase another same type of item. V

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