Gate2017 cs Q10

0. Arun, 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?

Answer
Comment
Array

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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