Multiple choice

How many permutations of four different letters are there, chosen from the $26$ letters of the alphabet?

  1. $14950$
  2. $23751$
  3. $358800$
  4. $456976$
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C Correct answer
Explanation

The number of permutations of 4 letters chosen from 26 is 26P4 = 26 * 25 * 24 * 23 = 358800.

AI explanation

To find the number of permutations of four different letters from 26, we use the permutation formula nPr. The calculation is 26P4, which equals 26 factorial divided by 22 factorial. This gives 26 times 25 times 24 times 23, which is 358800.

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