Card Shuffling
Every time you shuffle a deck of cards that combination of cards has likely never existed before!
The number of possible card shuffles is:
52! = 8.06581752 × 10^67 (google calculate this)
If you shuffled a deck of cards every second for a million years you would only get 3.1556926 × 10^13 combinations
31,556,926 second in a year
31,556,926 * 1,000,000 = 3.1556926 × 10^13
If you shuffled a deck of cards every mili-second (1,000 times a second) for a trillion years (longer than the earth is estimated to have existed) you would only get 3.1556926 × 10^22 combinations. That’s not even .01 percent of the total possible shuffles.
1,000 milliseconds in a second
31 556 926 000 milliseconds in year
1,000,000,000,000 * 31556926000 = 3.1556926 × 10^22
If the entire human race shuffled a deck of cards every millisecond for 1 trillion years there would only be 2.11652087 × 10^32. That’s still not even .01 percent of the total possible shuffles.
world population: 6,706,993,152
6,706,993,152 * 1,000,000,000,000 * 31,556,926,000 = 2.11652087 × 10^32
If the entire human race shuffled a deck of cards every millisecond for 100 quattuordecillion years there would be 2.11652087 × 10^67 different shuffles
10^47 years = 100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 (100 quattuordecillion )
100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 * 6,706,993,152 * 31,556,926,000 = 2.11652087 × 10^67
Then you would be at about 25% of all possible shuffles!
Names for big numbers
- thousand
- million
- billion
- trillion
- quadrillion
- quintillion
- sextillion
- septillion
- octillion
- nonillion
- decillion
- undecillion
- duodecillion
- tredecillion
- quattuordecillion = 10^45
- quindecillion = 10^48
- sexdecillion = 10^51
- septendecillion = 10^54
- octodecillion = 10^57
- novemdecillion = 10^60
- vigintillion = 10^63
- unvigintillion = 10^66 (close to the number of possible shuffles)
- duovigintillion = 10^69
- …
- Googol = 10^100 (a 1 followed by 100 zeros)