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Calculate the number of permutations, given n = 12 and r = 4. 40,320 11,880 7,920 5,040

Question

Calculate the number of permutations, given n = 12 and r = 4.

  • 40,320
  • 11,880
  • 7,920
  • 5,040
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Solution

To calculate the number of permutations, we use the formula P(n, r) = n! / (n-r)!.

Here, n = 12 and r = 4.

Step 1: Calculate n! n! = 12! = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 479,001,600

Step 2: Calculate (n-r)! (n-r)! = (12-4)! = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320

Step 3: Substitute these values into the formula P(12, 4) = 479,001,600 / 40,320 = 11,880

So, the number of permutations is 11,880.

This problem has been solved

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