Question

A class photograph has to be taken. The front row consists of 6 girls who are sitting. 20 boys are standing behind. The two corner positions are reserved for the 2 tallest boys. In how many ways can the students be arranged

• A. 18! x 1440
• B. 6! x 1440
• C. 18! x 21 x 1440
• D. None of these

Answer 1

Answer: (A)

18! x 1440

Answer 2

The two boys in corner can be arranged in =$2!$ ways
Now, the remaining boys can be arranged in =$18!$ ways
There are 6 girls who can be arranged in=$6!$ ways
Therefore, Total number of ways in which all the students can be arranged
$= 2! ×18!×6!$
$=18! ×1440$
The correct answer is (A) :18! x 1440