There are 34 people in line to get into a theatre. Admission costs 50 cents. Of the 34 people, 28 of them have a 50-cent piece and 6 have a $1 bill. Suppose that the box office has an empty cash register, how many ways can the people line up so that change is available when needed?

Note: For this question, assume that the people are indistinguishableâ€‹.

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