Question

In how many ways can a group of nine boys stand for a photograph in a row, if the leader of the group is to be

always at the centre?

A. 40123
B. 40320
C. 15425
D. 48024​

Answer 1

A. 40320

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To solve this problem, we need to consider that the leader of the group must always be in the center. This means that the leader occupies one fixed position in the row.

Now, we need to determine the number of ways the remaining 8 boys can be arranged in the other positions.

Since each of the remaining positions is interchangeable, we can use the formula for permutations to calculate the number of arrangements:

• P(8,8) = 8! =40320

Therefore, there are 40320 ways.