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Given 5 different green dyes, four diffe...

Given 5 different green dyes, four different blue dyes and three different red dyes, how many combinations of dyes can be chosen taking at least one green and one blue dye ?

A

3600

B

3720

C

3800

D

3600

Text Solution

Verified by Experts

The correct Answer is:
B
Possible number of choosing green dyes `= 2^(5)`
Possible number of choosing blue dyes `= 2^(4)`
Possible number of choosing red dyes `= 2^(3)`
If atleast one blue and one green dyes are selected.
Then, total number of selection `= (2^(5) - 1) (2^(4) - 1) xx 2^(3) = 3720`
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