How many permutations are possible for 11 objects taken 7 at a time?

For permutations of 11 objects taken 7 at a time, order matters, so use 11P7 = 11!/(11−7)! = 11!/4!. Calculating gives 11 × 10 × 9 × 8 × 7 × 6 × 5 = 1,663,200. The correct choice is 1,663,200.

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