Question

the number of ways of which 10 balls can be selected from 10 identical green balls 10 identical blue balls and 9 identical red balls

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Answer 1

Given : 10 identical green balls 10 identical blue balls and 9 identical red balls

Select 10 Balls

To Find : Number of Ways

Solution:

    RED              GREEN                 BLUE

      9                      0                         1

                               1                         0              

      8                       0                        2

                                1                         1

                                2                         0

and so on

for 9 Red  balls  2 ways

for 8 red balls   3 ways

for 7 red balls   4 ways

for 1 red ball   10 ways

for 0 red balls  11 ways

Total ways = 2 + 3 + 4 + ___+ _____+ 10 + 11

Sum = (10/2)(2 + 11)

= 65

65 ways in which 10 balls can be selected from 10 identical green balls 10 identical blue balls and 9 identical red balls

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