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Permutation: n Different Things Taken All at a Time When All Are Not Different.

A mathematics...

Question

A mathematics instructor plans to assign to homework three problems from a set of ten problems. How many different homework assignments are possible?

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Solution

He wanted to select $3$ questions out of $10$ questions
So number of ways he can select is ${^{10} C}_{3} = 120$ ways

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Permutation: n Different Things Taken All at a Time When All Are Not Different.

Standard XII Mathematics

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