Answer: 14,658,134,400
Step-by-step explanation:
There are 52 numbers to start with. After choosing the first number, there are 51 numbers remaining, etc.
1st and 2nd and 3rd and 4th and 5th and 6th
52 x 51 x 50 x 49 x 48 x 47 = 14,658,134,400
You can also find the answer using the following formula:
[tex]\dfrac{52!}{(52-6)!}=\dfrac{52!}{46!}=\dfrac{52\times 51\times 50\times 49\times 48\times 47 \times 46!}{46!}\\\\\\.\qquad \qquad \qquad \quad = 52\times 51\times 50\times 49\times 48\times 47\\ \\\\.\qquad \qquad \qquad \quad =\large\boxed{14,658,134,400}[/tex]
