A) \[\frac{52\ !}{{{(13\ !)}^{4}}}\]
B) \[\frac{52\ !}{{{(13\ !)}^{2}}\ 4\ !}\]
C) \[\frac{52\ !}{{{(12\ !)}^{4}}\ (4\ !)}\]
D) None of these
Correct Answer: A
Solution :
Required number of ways \[{{=}^{52}}{{C}_{13}}{{\times }^{39}}{{C}_{13}}{{\times }^{26}}{{C}_{13}}{{\times }^{13}}{{C}_{13}}\] \[=\frac{52\ !}{39\ !\ \times 13\ !}\times \frac{39\ !}{26\,!\ \times 13\ !}\times \frac{26\ !}{13\ !\ \times 13\ !}\times \frac{13\ !}{13\ !}=\frac{52\ !}{{{(13\ !)}^{4}}}\].
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