Question

The number of ways in which 52 cards can be distributed among four players, each receiving 13 cards, is

• A. $\frac{\angle 52}{(\angle 13)^{4}x4}$
• B. $\frac{\angle 52}{(\angle 13)^{4}}$
• C. $\frac{\angle 52}{(\angle 13)^{4}\mspace{6mu}\angle 4}$
• D. None

Answer 1

Answer: (B)

$\frac{\angle 52}{(\angle 13)^{4}}$

Answer 2

In this case we have to divide 52 distinct objects into four equal groups of 13 each, groups being distinguishable as each group belongs to one particular player.

∴ Required number of ways.

= $52C_{13}x^{39}C_{13}x^{26}C_{13}x^{13}C_{13} = \frac{\angle 52}{(\angle 13)^{4}}$.