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A Rug Manufacturer Has Decided to Use 7 Compatible Colors

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A rug manufacturer has decided to use 7 compatible colors 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 color groupings for sale. How many color groupings using the seven colors taken five at a time are there? (This assumes that 5 different colors will go into each rug, i.e., there are no repetitions of color.)


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Saudi Flag

The national flag of Saudi Arabia, featuring a green field with the Shahada or Islamic declaration of faith written in white above a white horizontal sword.

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Platforms and websites that enable users to create and share content or participate in social networking.

Manager

An individual responsible for directing and overseeing the work of a group of people in an organization.

Company

An organization or business entity engaged in commercial, industrial, or professional activities.

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