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CBSE Class 11-science Answered

Find the number of ways of selecting 9 balls from 6 red balls, 5 black balls and 5 green balls if each selection consists of 3 balls of each color, assuming that the balls of same color are distinguishable.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Since balls of same color are such that we can distinguish them, therefore we have 6 different red balls, 5 different black balls and 5 different green balls.

 

Here we have to select 3 balls of each color and so a total of 9 balls. 

 

The number of ways of selecting 3 red balls from 6 different red balls.

                                                                         

 

The number of ways of selecting 3 black balls from 5 different black balls

                                                                              

 

Similarly the number of ways of selecting 3 green balls out of 5 different green balls

 

                                                                                            

 

Hence, the required number of selecting 9 balls = 20 x 10 x 10 = 2000 ways

Answered by | 04 Jun, 2014, 03:23: PM
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