Download the app

Questions  

Given 5 different green dyes, 4 different blue dyes and 3 different red dyes, the number of combinations of dyes that can be chosen by taking at least one green and one blue dye is

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
248
b
120
c
3720
d
465

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is C

Number of ways of selecting at least one green dye out of 5 different green dyes 5C1+5C2+5C3+5C4+5C5=25−1Also, at least one blue dye can be selected out of 4 blue dyes in 4C1+4C2+4C3+4C4=24−1Again, 3 different red dyes can be selected in 3C0+3C1+3C2+3C3=23 ways∴ Required ways =25−124−123=3720


Similar Questions

Let X be a set containing n elements. The number of reflexive relations that can be defined on X  is 


whats app icon
phone icon