GITNUXREPORT 2025

Combinations Statistics

Combinations vary widely; from cards to lotteries, possibilities are immense.

Jannik Lindner

Jannik Linder

Co-Founder of Gitnux, specialized in content and tech since 2016.

First published: April 29, 2025

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Key Statistics

Statistic 1

The number of possible combinations of a 52-card deck taken 5 at a time is 2,598,960

Statistic 2

The number of different 6-card hands possible from a standard poker deck (52 cards) is 20,426,170

Statistic 3

In lottery games, choosing 6 numbers from 49, the odds of winning the jackpot are 1 in 13,983,816

Statistic 4

The total number of ways to select 4 items from 20 without regard to order is 4845

Statistic 5

The total number of combinations of 10 items taken 4 at a time is 210

Statistic 6

In 4-digit PIN codes with no repeated digits, there are 5040 possible combinations

Statistic 7

The total number of 2-combinations from a 50-item set (like a lottery) is 1225

Statistic 8

When selecting 4 items from 25, the total combination count is 12650

Statistic 9

There are 75 possible combinations when choosing 3 items from a set of 10

Statistic 10

Choosing 5 out of 23 items (like in a lottery) has 336,376 possible combinations

Statistic 11

The total number of 4-element combinations from 15 elements is 1365

Statistic 12

The total number of combinations of 12 items taken 2 at a time is 66

Statistic 13

The number of 7-element combinations from an 18-element set is 31824

Statistic 14

Choosing 8 items from 30 results in 5855852925 possible combinations

Statistic 15

The total number of ways to select 3 items from 9 is 84

Statistic 16

When selecting 3 items from a 10-element set, there are 120 combinations

Statistic 17

The number of combinations of 4 items in a set of 8 is 70

Statistic 18

The total number of 5-combinations from 10 items is 252

Statistic 19

The total combinations of 3 items from a 12-element set is 220

Statistic 20

There are 165 ways to select 5 items from 11

Statistic 21

In a 7-digit lock code with no repeated digits, there are 5,040 possible combinations

Statistic 22

The number of 4-card combinations from a 52-card deck is 270725

Statistic 23

The number of possible 3-m+1 combinations (m = number of objects selected) from a set of 10 objects is 120

Statistic 24

There are 102,300 3-combination subsets possible from an 18-element set

Statistic 25

For choosing 2 items from a set of 8, the number of combinations is 28

Statistic 26

The number of ways to choose 3 items from 12 is 220

Statistic 27

The number of 5-element subsets possible from a 15-element set is 3003

Statistic 28

The number of ways to choose 3 items from 20 is 1140

Statistic 29

There are 1,081,575 different 3-combinations possible from 20 items

Statistic 30

For selecting 3 items from a 7-element set, there are 35 combinations

Statistic 31

The number of ways to select 2 items from 6 with order ignored is 15

Statistic 32

The number of 6-element combinations from 20 items is 38760

Statistic 33

For 5 choices from 12 items, total combinations are 792

Statistic 34

The number of ways to choose 2 items from 6, ignoring order, is 15

Statistic 35

The total number of 8-choose-4 combinations from a 15-element set is 1365

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Key Highlights

  • The number of possible combinations of a 52-card deck taken 5 at a time is 2,598,960
  • The number of possible 3-m+1 combinations (m = number of objects selected) from a set of 10 objects is 120
  • In lottery games, choosing 6 numbers from 49, the odds of winning the jackpot are 1 in 13,983,816
  • There are 102,300 3-combination subsets possible from an 18-element set
  • The total number of ways to select 4 items from 20 without regard to order is 4845
  • For choosing 2 items from a set of 8, the number of combinations is 28
  • The number of ways to choose 3 items from 12 is 220
  • The number of 5-element subsets possible from a 15-element set is 3003
  • The total number of combinations of 10 items taken 4 at a time is 210
  • The number of ways to choose 3 items from 20 is 1140
  • In 4-digit PIN codes with no repeated digits, there are 5040 possible combinations
  • There are 1,081,575 different 3-combinations possible from 20 items
  • For selecting 3 items from a 7-element set, there are 35 combinations

Did you know that the number of possible 5-card poker hands from a standard 52-card deck soars to over 20 million, showcasing the astonishing variety hidden within simple combinations?

Card and game hand combinations

  • The number of possible combinations of a 52-card deck taken 5 at a time is 2,598,960
  • The number of different 6-card hands possible from a standard poker deck (52 cards) is 20,426,170

Card and game hand combinations Interpretation

While the universe of five-card poker hands suggests endless possibilities, the 6-card variants open a whole new universe of more than twenty million potential hands, reminding us that in the game of cards, expanding your hand size exponentially amplifies your chances — but luck still reigns supreme.

Lottery and gambling combinations

  • In lottery games, choosing 6 numbers from 49, the odds of winning the jackpot are 1 in 13,983,816

Lottery and gambling combinations Interpretation

With odds so slim—about 1 in 14 million—your chances of hitting the jackpot in a 6/49 lottery are roughly equivalent to randomly guessing the exact grain of sand on a sprawling beach, reminding us that luck is truly a long shot, yet we still roll the dice in hopes of a miracle.

Mathematical combinatorial calculations

  • The total number of ways to select 4 items from 20 without regard to order is 4845
  • The total number of combinations of 10 items taken 4 at a time is 210
  • In 4-digit PIN codes with no repeated digits, there are 5040 possible combinations
  • The total number of 2-combinations from a 50-item set (like a lottery) is 1225
  • When selecting 4 items from 25, the total combination count is 12650
  • There are 75 possible combinations when choosing 3 items from a set of 10
  • Choosing 5 out of 23 items (like in a lottery) has 336,376 possible combinations
  • The total number of 4-element combinations from 15 elements is 1365
  • The total number of combinations of 12 items taken 2 at a time is 66
  • The number of 7-element combinations from an 18-element set is 31824
  • Choosing 8 items from 30 results in 5855852925 possible combinations
  • The total number of ways to select 3 items from 9 is 84
  • When selecting 3 items from a 10-element set, there are 120 combinations
  • The number of combinations of 4 items in a set of 8 is 70
  • The total number of 5-combinations from 10 items is 252
  • The total combinations of 3 items from a 12-element set is 220
  • There are 165 ways to select 5 items from 11
  • In a 7-digit lock code with no repeated digits, there are 5,040 possible combinations
  • The number of 4-card combinations from a 52-card deck is 270725

Mathematical combinatorial calculations Interpretation

From selecting 4 items out of 20 to cracking a 7-digit lock, the staggering variety of combinations—from 66 to over 5 billion—reminds us that in the world of choices, complexity is often just a matter of perspective.

Subset and selection counts in sets of items

  • The number of possible 3-m+1 combinations (m = number of objects selected) from a set of 10 objects is 120
  • There are 102,300 3-combination subsets possible from an 18-element set
  • For choosing 2 items from a set of 8, the number of combinations is 28
  • The number of ways to choose 3 items from 12 is 220
  • The number of 5-element subsets possible from a 15-element set is 3003
  • The number of ways to choose 3 items from 20 is 1140
  • There are 1,081,575 different 3-combinations possible from 20 items
  • For selecting 3 items from a 7-element set, there are 35 combinations
  • The number of ways to select 2 items from 6 with order ignored is 15
  • The number of 6-element combinations from 20 items is 38760
  • For 5 choices from 12 items, total combinations are 792
  • The number of ways to choose 2 items from 6, ignoring order, is 15
  • The total number of 8-choose-4 combinations from a 15-element set is 1365

Subset and selection counts in sets of items Interpretation

From a modest 10-object set yielding just 120 combos, to a sprawling 1,081,575 ways among 20 items, the combinatorial universe often offers more pathways than a city has streets—reminding us that in the realm of choices, the possibilities are almost limitless.