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Question 39
ABC Paints Ltd. is planning to create different combination of dyes. The research team has decided they will be using five different green dyes, three different red dyes and four different blue dyes. How many combinations of dyes can be created by ABC Paints Ltd., by including at least one blue and one green dye?
Solution
Number of green dyes = 5
Number of blue dyes = 4
Number of red dyes = 3
The no of ways of choosing of at least one green and one blue is = $$\left(2^5-1\right)\left(2^4-1\right)2^3$$
=31*15*8
= 3720
B is the correct answer.
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