Gate2017 cs Q10

10Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured red, pink, blue and white respectively. Arun dislikes the colour red and Shweta dislikes the colour white. Gulab and Neel like all the colours. In how many different ways can they choose the shirts so that no one has a shirt with a colour he or she dislikes?

Option : D
Explanation :
Total possibilities =4!=24.
No. of ways 'Arun chooses red' or 'Shwetha chooses white'
=(no.of ways `Arun chooses red')
+(no.of ways `Shwetha chooses white')
−(no.of ways `Arun chooses red' and `Shwetha chooses white')
=6+6−2=10
required =24−10=14

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