A Time Question

The number of seconds in 6 weeks is

$6 \times 7 \times 24 \times 60 \times 60$

$=2^{8}*3^4*5^2*7$

$= 2 \times 3 \times 2^2 \times 5 \times (2\times 3) \times 7 \times 2^3 \times 3^2 \times (2 \times 5)$

$=2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10$

$= 10!$

Guess:

1. 60! is too big. So it can not be an answer.

2. The number of total seconds in 6 weeks at least has 2 zero in the last (Because of 60*60). The answer can not be 8! or 9! (Both have only one zero at last).

Therefore the anwser is 10!

Number of seconds in 6 weeks are 6X7X24X60X60,while solving and clubbing together we get 2x3x4x5x6x7x8x9x10 that is 10! Ans

K.K.GARG,India

Six weeks contains 6 * 7 * 24 * 3600 seconds. Starting from 2, keep removing numbers from the above multiplication. You will be left with 10. Ans = 10!

Number of seconds in $6$ weeks $= 3600 \times 24 \times 7 \times 6 = 3628800 = 10!$

Therefore, the answer is $\boxed{10}$ .

Simple method is count number of zeroes in the product ( of 6 weeks), without actually multiplying the factors ( it comes out to be two zeroes) . That knocks out 8,9 straightaway. And 60! is a large number to have just two zeroes. So, 10 is the answer.

We know a day contains 86400 seconds and one week consists of 7 days, so 6 weeks will have 86400 7 6 seconds = 3628800 = 10!

60 60 24 7 6= 3,628,800= sec in six weeks
----------------> 3,628,800 / 1 = 3,628,800
----------------> 3,628,800 / 2 = 1,814,400
----------------> 1,814,400 / 3 = 604,800
---------------->---604,800 / 4 = 151,200
---------------->---151,200 / 5 = 30,240
---------------->-----30,240 / 6 = 5,040
---------------->-------5,040 / 7 = 720
---------------->---------720 / 8 = 90
---------------->-----------90 / 9 = 10
---------------->---------10 / 10 = 1

so essentially you do a n factorial backwards, where n= the humber that you have to divide by itself

Six weeks = 10! seconds. Because 6 weeks × 7 days × (8×3) hours × (4×√9×5) mins × (2×√9×10) secs = 1×2×3×4×5×6×7×8×9×10 = 10!

6 x 7 x 24 x 60 x 60 = 3628800 and 10! = 3628800 that's easy :p

24 60 60 7days 6weeks=3628800 is 10 fatorial

There are 6 weeks (6)

There are 7 days in a week (7)

There are 24 hours in a day (8 x 3)

There are 3600 seconds in an hour (10 x 9 x 5 x 4 x 2)

10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 = 10!

$6*7*24*60*60\\=7*6*24*30*120\\=7*6*5*4*3*2*1*24*30\\=7!*8*3*3*10\\=7!*8*9*10\\=10!$

1 weeks = 7 24 60 60 = 604,800 6 weeks = 6 604,800 = 3628800 3628800 factors are 1,2,3,5,7 => 2^8 3^4 5^2 7 =10 9 8 7 6 5 4 3 2 1 = 10!

number of seconds in 6 weeks = 362800 = 10!

6 24 60*60 =518400 =10!

6 x 7 x 24 x 60 x 60 = 3628800 = 10! .. so the answer is 10