A punk rock band is planning their next concert tour. The band has a total of 35 new songs in their repertoire. Give your answer using the notation nPr or nCr. You do not have to give an actual numerical answer, so you won't need a calculator. (a) How many different set lists of 10 songs can the band select to play on the tour? (b) How many different ways are there for the band to record a CD consisting of 10 songs chosen from the 35 new songs? (Hint: In recording a CD, the order in which the songs appear on the CD is relevant.) (a) Choose the correct answer below. A. 35C10 B. 10C35 C. 35P10 D. 10P35
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So, we will use combinations (nCr) to find the number of different set lists. The correct answer is: $\boldsymbol{35C_{10}}$ Show more…
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