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?

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Solution

The correct option is D 14
As there are 4 people A,G,N,S and four colours so without any restriction total ways have to be 4 $\times$ 4 = 16.

Now, Arun $\to$ dislikes Red and Shweta dislikes white so 16 -2 =14 ways.

Therefore correct answer should be option (d).

Alternative solution:

Only one option is less than 16.
Therefore correct answer should be option (d).

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