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A Rug Manufacturer Has Decided to Use 7 Compatible Colours

question 52

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A rug manufacturer has decided to use 7 compatible colours in her rugs. However, in weaving a rug, only 5 spindles can be used. In advertising, the rug manufacturer wants to indicate the number of different colour groupings for sale. How many colour groupings using the seven colours taken five at a time are there? (This assumes that 5 different colours will go into each rug, i.e., there are no repetitions of colour.)


Definitions:

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Individuals related by blood, marriage, or adoption, who often live together and provide emotional and financial support to one another.

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