1000! 😲 और सब कुछ खतम | factorial का डर | Power of factorials

factorial function (symbol: !) says to multiply all whole numbers from our chosen number down to 1.
Examples:
4! = 4 × 3 × 2 × 1 = 24
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
1! = 1
What About "0!"
Zero Factorial is interesting ... it is generally agreed that 0! = 1.
0 1
1 1
2 2
3 6
4 24
5 120
6 720
7 5,040
8 40,320
9 362,880
10 3,628,800
11 39,916,800
12 479,001,600
13 6,227,020,800
14 87,178,291,200
15 1,307,674,368,000
16 20,922,789,888,000
17 355,687,428,096,000
18 6,402,373,705,728,000
19 121,645,100,408,832,000
20 2,432,902,008,176,640,000
21 51,090,942,171,709,440,000
22 1,124,000,727,777,607,680,000
23 25,852,016,738,884,976,640,000
24 620,448,401,733,239,439,360,000
25 15,511,210,043,330,985,984,000,000

See the exponential increase in the values of factorials.
Let's see some facts
Six weeks is exactly 10! seconds (=3,628,800)

Here is why:

Seconds in 6 weeks: 60 × 60 × 24 × 7 × 6
Factor some numbers: (2 × 3 × 10) × (3 × 4 × 5) × (8 × 3) × 7 × 6
Rearrange: 2 × 3 × 4 × 5 × 6 × 7 × 8 × 3 × 3 × 10
Lastly 3×3=9: 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10

There are 52! ways to shuffle a deck of cards.

That is 8.0658175... × 10^67

Just shuffle a deck of cards and it is likely that you are the first person ever with that particular order.
70! is approximately 1.197857... x 10^100, which is just larger than a Googol (the digit 1 followed by one hundred zeros).

100! is approximately 9.3326215443944152681699238856 x 10^157

200! is approximately 7.8865786736479050355236321393 x 10^374

To know more watch this full video.
Background Music - COAG Music, Whitesand Music

Thanks for watching..
Social accounts link
Instagram- https://www.instagram.com/scienceandmyths/
Facebook Page- https://www.facebook.com/ScienceAndMyths/

FAIR-USE COPYRIGHT DISCLAIMER This video is meant for Educational/Inspirational purpose only. We do not own any copyrights, all the rights go to their respective owners. The sole purpose of this video is to inspire, empower and educate the viewers.

Видео 1000! 😲 और सब कुछ खतम | factorial का डर | Power of factorials канала Science and myths