41-52 Counting Permutations These exercises involve counting permutations.
Piano Recital A pianist plans to play eight pieces at a recital. In how many ways can arrange these pieces in the program?
The total number of ways by which, a pianist can arrange the eight pieces at a recital in the program.
The number of permutations of distinct objects taken at a time is,
The total number of pieces is eight and the number of ways of arranging the eight pieces at a time is similar to the number of ways of selecting eight numbers from the eight numbers.
Thus, it is given as,
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