In suffling a pack of card 3 are accidentally dropped then the chance that missing card should be of different suit is?

169/425
261/425
104/425
None of these

Correct Answer: 169/425

Explanation:

Total ways ⁵²C₃ = 22100
There are 4 suit in a pack of cards so three suit can be selected in ⁴C₃ ways.
One card each from different unit can selected as = ¹³C₁ X ¹³C₁ X ¹³C₁ ways
So, favourable ways = ⁴C₃ X ¹³C₁ X ¹³C₁ X ¹³C₁ = 8788
∴ Required probability = 8788/22100 = 169/425

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