There is exactly 10! seconds in 6 weeks.

 There is exactly 10! seconds in 6 weeks.

For those who are unaware, for any positive integer n, n!, read as “n factorial”, represents the product of all positive integers less than or equal to n. So, for example, 5! = 5 × 4 × 3 × 2 × 1.

So, to see that 10! seconds = 6 weeks, let’s convert six weeks into seconds.

6weeks = 6 x 7 days
              = 6 x 7 x 24 hours 
              = 6 x 7 x 24 x 60 minutes 
              = 6 x 7 x 24 x 60 x 60 seconds.

Lets now try to rewrite this so that it looks like 10!,
6 x 7 x 24 x 60 x 60 = 6 x 7 x (3 x 8) x (2 x 3 x 10) x (5 x 3 x 4)
                                =10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 
                               = 10!

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