MHT CET · Maths · Probability
The total number of ways, of dividing 52 cards amongst 4 players, so that 3 players have 17 cards each and fourth player has just one card, are
- A \(\frac{52 !}{(17 !)^3}\)
- B \(\frac{52 !}{(17 !)^2}\)
- C \(\frac{52 !}{17 !}\)
- D \(\frac{52 !}{17}\)
Answer & Solution
Correct Answer
(A) \(\frac{52 !}{(17 !)^3}\)
Step-by-step Solution
Detailed explanation
Number of ways \(=\frac{52 !}{17 ! \cdot 17 ! \cdot 17 ! \cdot 1 ! \cdot 3 !}=\frac{52 !}{(17 !)^3 \cdot 3 !}\)
[By division into groups]
[By division into groups]
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