The ways that we can choose 2 red, 1 yellow, and 2 blue marbles is ³C₂ × ⁵C₁ × ⁸C₂ / ¹⁶C₅
According to the question,
In a bag there are three different color of marbles
Number of red color marbles = 3
Number of yellow color marbles = 5
Number of blue color marbles = 8
Total number of marbles = 3 + 5 + 8
=> 16
We have to find number of ways to choose 2 red, 1 yellow, and 2 blue marbles
For choosing 2 red marbles from total 3 ,
Number of ways = ³C₂
For choosing 1 yellow marbles from total 5 ,
Number of ways = ⁵C₁
For choosing 2 blue marbles from total 8 ,
Number of ways = ⁸C₂
Total number of ways to choose 5 marbles from 16 = ¹⁶C₅
Therefore , Numbers of ways we can choose n 2 red, 1 yellow, and 2 blue marbles = ³C₂ × ⁵C₁ × ⁸C₂ / ¹⁶C₅
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