1.

There are 3 blue balls, 4 red balls and 5 green balls. In how many ways can they are arranged in a row?

Answer»

To find: no of ways in which the balls can be arranged in a row where some balls are of the same kind 

Total number of balls = 3 + 4 + 5 = 12

3 are of 1 kind, 4 are of another kind, 5 are of the third kind 

Number of ways = \(\frac{12!}{3!4!5!}\) = 27720

They can be arranged in 27720 ways



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