You are given `8` balls of different colour (black,white ......). The number of ways in which these balls can be arranged in a row so that the two balls of particular colour (say red and white) may never come together is-

The number of ways in which 5 red balls , 4 black balls of different sizes can be arranged in a row so that no two balls of the same colour come together is

The number of ways in which 20 different white balls and 19 different black balls be arranged in a row,so that no two balls of the same colour come together is

Find the number of ways in which 5 red balls, 4 black balls of different sizes can be arranged in a row so that no two balls of the same colour come together.

Find the number of ways in which 5 red balls, 4 black balls of different sizes can be arranged in a row so that the balls of the same colour come together.

The number of ways in which 17 billiard balls be arranged in a row if 7 of them are black, 6 are red, 4 are white is

The number of ways in which 4 different red balls and 8 similar green balls can be arranged in a row so that at most 3 red balls are together is equal to

The number of ways in which 4 different red balls and 8 similar green balls can be arranged in a row so that at most 3 red balls are together is equal to

There are 2 identical white balls,3 identical red balls and 4 green balls of different shades. The number of ways in which they can be arranged in a row so that atleast one ball is separated from the balls of the same colour,is

There are (n + 1) white and (n + 1) black balls, each set numbered 1 to n + 1. The number of ways in which the balls can be arranged in a row so that adjacent balls are of different colours, is