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Q.

5 different green dyes, 4 different blue dyes, 3 different red dyes are given. The number of combinations of dyes at least one green and one blue dye is

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a

3870

b

(25−1)(24−1)(23−1)

c

(25−1)(24−1)23

d

(25−1)(23−1)2312!

answer is C.

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(25−1)(24−1)23
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5 different green dyes, 4 different blue dyes, 3 different red dyes are given. The number of combinations of dyes at least one green and one blue dye is