In how many ways can 4 identical red balls, 6 identical green balls and 5 identical blue balls be arranged in a row such that all the blue balls are together and no two red balls are together?490510480520

How many ways can 5 identical red balls and 4 identical blue balls be arranged in a row such that no two blue balls are adjacent?

In how many ways 5 identical red balls and 7 distinct black balls can be arranged in a line such that no two red balls  are adjacent

5. Find the number of ways of selecting 9 balls from 6 red balls, 5 white balls and 5 blue balls if each selection consists of 3 balls of each colour.

Given five different yellow balls, four different black balls and three different white balls. Then the number of combinations of balls that can be chosen taking at least one yellow and at least one black balls are ___________.Choices:- 3255 4096 3720 3721

Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. In how many ways can we place the balls so that no box remains empty?50100150200