# What is 4 CHOOSE 2 or 4C_{2}?

4 CHOOSE 2 = 6 possible combinations.

6 is the total number of all possible combinations for choosing 2 elements at a time from 4 distinct elements without considering the order of elements in statistics & *probability *surveys or experiments. The number of combinations for sample space 4 CHOOSE 2 can also be written as 4C_{2} in the format of **nCr** or **nCk**.

n CHOOSE k | nCk | Combinations |
---|---|---|

3 CHOOSE 1 | 3C1 | 3 |

3 CHOOSE 2 | 3C2 | 3 |

3 CHOOSE 3 | 3C3 | |

4 CHOOSE 1 | 4C1 | 4 |

4 CHOOSE 2 | 4C2 | 6 |

4 CHOOSE 2 | 4C2 | 6 |

## How to Find 4C_{2} or 4 CHOOSE 2?

The below is the complete work with step by step calculation for 4 CHOOSE 2 may helpful for grade school students to learn how find all possible combinations of 4C_{2} for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of this 4 CHOOSE 2 calculator.

** Workout** :

step 1 Address the formula, input parameters & values

n = 4

k = 2

Find what is 4 CHOOSE 2?

step 2 Substitute n and r values in below nCk formula

nCk = n!/k! (n - k)!

4 CHOOSE 2 =4!/2! (4 - 2)!

step 3 Find the factorial for 4!, 2! & 2!, substitute the corresponding values in the below expression and simplify.

4C2 = 4!/2! (2)!

=1 x 2 x 3 x 4/(1 x 2) (1 x 2)

= 3 x 4/2

= 12/2

4C2 = 6

6 total possible combinations for 4 CHOOSE 2