Question: 9. Let < k < m < n be positive integers. There will be n new movies released next month. Suppose that a prominent

9. Let ℓ < k < m < n be positive integers. There will be n new movies released next month. Suppose that a prominent movie critic, Mr. Wilbert, whose reviews are syndicated to more than 200 newspapers, is required to review exactly m movies next month for publication.

(a) How many choices does he have?

(b) If k of the new releases are specified, and Mr. Wilbert is required to review them as part of his m reviews, how many choices does he have?

(c) If k of the new releases are specified, and Mr. Wilbert is required to review at least ℓ of them as part of his m reviews, how many choices does he have?

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