Examveda
Examveda

In how many ways can 6 green toys and 6 red toys be arranged, such that 2 particular red toys are never together whereas 2 particular green toys are always together?

A. 11! × 2!

B. 9! × 90

C. 4 × 10!

D. 18 × 10!

Answer: Option D

Solution(By Examveda Team)

Considering two green toys that are to be together as one unit.
We can arrange the 6 green toys and the remaining 4 red toys (excluding the 2 who are not to be together) is:
= 9! × 2! × 10C2 × 2!
= 18 × 10!

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