Q64 / 150 · MHT CET 2022 (10 Aug Shift 2) · Mathematics
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
- Correct answerA$\frac{52 !}{(17 !)^3}$
- B$\frac{52 !}{(17 !)^2}$
- C$\frac{52 !}{17 !}$
- D$\frac{52 !}{17}$
Solution
Number of ways $=\frac{52 !}{17 ! \cdot 17 ! \cdot 17 ! \cdot 1 ! \cdot 3 !}=\frac{52 !}{(17 !)^3 \cdot 3 !}$
[By division into groups]
Hence, the correct answer is option: 'A'.