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.6! ร 1440
B.18! ร 1440
C.18! ร2! ร 1440
D.None of these

Answer 1

I think it's option A

Answer 2

Answer:

Option (B)18!×1440 is the total number of ways that the student can be arranged .

Step-by-step explanation:

Explanation:

Given , 6 girls are setting in the front row  and 20 boys are standing behind

Two corner position  are reserved for 2 tallest boy

So , girls can be arrange in $6!$ .

2 tallest boys can be arrange in 2! and rest 18 boys can be arrange in 18!.

Therefore , the total number of ways in which all students can be arrange

= 18!×2!×6!

⇒18! × (2×1)× (6× 5× 4× 3× 2× 1)

⇒ 18!×2×720

⇒18! × 1440 .

Final answer :

Hence , the total number of ways  that the students can be arranged is

             18! ×1400.

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