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in Permutations and Combinations by (47.9k points)

By 8 students and 5 professors, we have to make a college council, taking 5 students and 2 professors. How many councils can be formed?

1 Answer

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Best answer

Number of methods of choosing 5 out of 8 students = 8C5

and number of methods of choosing 2 out at 5 professors = 5C2

By the basic principle of calculation, the methods of choosing 5 out of 8 students and 2 out of 5 professors are

Hence required councils are 560.

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