Question

Determine the number of perμtations of the elements A, B, C, D, E satisfying the condition that 'A' occupies the first position.

Answer 1

There are 24 permutations of the elements A, B, C, D, E with 'A' in the first position.

Step-by-step explanation:

To determine the number of permutations of the elements A, B, C, D, E satisfying the condition that 'A' occupies the first position, we need to fix 'A' in the first position and then find the number of permutations of the remaining elements.

Since 'A' is fixed in the first position, we have 4 remaining elements to arrange: B, C, D, and E. The number of permutations of these 4 elements is 4! (4 factorial), which is equal to 4 x 3 x 2 x 1 = 24. Therefore, there are 24 permutations of the elements A, B, C, D, E satisfying the given condition.