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This is known as the number of combinations of 25 things taken 6 at a time. It is equal to 25!/(6!19!) where n! is n factorial which means the product of the integers from 1 to n. This works out to 20 * 21 * 22 * 23 * 24 * 25 / 1 * 2 * 3 * 4 * 5 * 6. After canceling we are left with 10 * 7 * 22 * 23 * 5. I get 177,100

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Q: How many ways can a 6 person committee be selected from a group of 25?
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