Question

5 dogs and 3 cats are arranged randomly ina row.Find the probability that there is one cat on each end

Answer 1

Given :

Number of dogs = 5

Number of 3 cats = 3

To find : probability that there is one cat on each end = ?

Solution:

Since we need to put one cat on each end.

So, 2 cats will be fixed.

Number of remaining animals = 8-2 =6

So, Number of ways would be

$6!\times 2!=1440$

So, Probability that there is one cat on each end would be

$\dfrac{1}{1440}$