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 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
Updated On: Oct 3, 2024
- 18! x 1440
- 6! x 1440
- 18! x 21 x 1440
- None of these
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The Correct Option is A
Solution and Explanation
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
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