Question

Six members of the gymnastics team are going to have their picture taken. The two gymnasts, who are over 5 foot 5 inches, are going to be in the center with the remaining gymnasts on either side of them. How many different pictures can be taken assuming that the two tallest gymnasts will occupy the same position in all the photos

Answer 1

Total number of ways of arranging the total six positions = 18

Explanation:

The total members in the team are six.

Six members means six positions. Out of these six positions, two positions are fixed and hence only 4 positions are available for arrangement.

Thus, the total number of ways of arranging the remaining four position are

4 * 4 = 16

Total number of ways of arranging the total six positions are

16 + 2 = 18