A2 Maths CIE Question

[fadood]

2 spaniels, 2 retrievers and 3 poodles go through to the final. They are placed in a line.
(iii) How many different arrangements of these 7 dogs are there if no poodle is next to another poodle?
[3]

Can someone explain how they would do this question ? The answer is 1440.

 

[Eman Shahid]

I hate this chapter, permutation and combination sucks.

 

[fadood]

Me too !!

 

[vinit]

are you sure the answer is 1440, cause without limitations the number of arrangements is 7!/(2!*2!*3!) which is 210