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A shop sells helium balloons in eight different colours: red, pink, yellow, blue, green, purple, black...

A shop sells helium balloons in eight different colours: red, pink, yellow, blue, green, purple, black and silver. (a) How many different selections of 16 helium balloons can be purchased if the shop has at least 16 balloons of each colour in stock? (b) How many different selections of 16 helium balloons can be purchased if you buy at least 3 red balloons and at least 5 yellow balloons, and the shop has at least 16 balloons of each colour in stock? (c) How many different selections of 16 helium balloons can be purchased if the shop has only 7 pink balloons in stock and only 5 blue balloons in stock, but at least 16 balloons of each other colour in stock?

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milcah answered 1 year ago
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