Iwant to take a picture of my six friends standing in two horizontal rows of three. how many different photos can i take if the tallest person must stand in the back row, the shortest person must stand in the front row, and two of my friends are identical twins whom i can't tell apart? (the identical twins are neither the tallest nor the shortest.)

108 ways

Step-by-step explanation:

It is given that there 6 students with Tallest, shortest and 4 medium sized student

back row can be filled with Tallest person and 2 other from 4 medium sized  student (shortest must be in front row)

No of ways in which 2 seats can be filled is

and tallest can take any position out of 3 seats so total no of ways in which last row can be filled is

In front row 3 students can be arranged in 3! ways i.e.

so total ways are

but there are 2 twin which cut the total no of ways to half so total no of ways

108 Ways

Step-by-step explanation:

I did this on AoPs :)