# What is 3 CHOOSE 2 or Value of 3C2?

3 CHOOSE 2 = 3 possible combinations.

3 is the total number of all possible combinations for choosing 2 elements at a time from 3 distinct elements without considering the order of elements in statistics & *probability *surveys or experiments. The number of combinations for sample space 3 CHOOSE 2 can also be written as 3C_{2} in the format of **nCr** or **nCk**.

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

2 CHOOSE 1 | 2C1 | 2 |

2 CHOOSE 2 | 2C2 | |

3 CHOOSE 1 | 3C1 | 3 |

3 CHOOSE 2 | 3C2 | 3 |

3 CHOOSE 2 | 3C2 | 3 |

3 CHOOSE 3 | 3C3 |

## How to Find 3C_{2} or 3 CHOOSE 2?

The below is the complete work with step by step calculation for 3 CHOOSE 2 may helpful for grade school students to learn how find all possible combinations of 3C_{2} for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of 3 CHOOSE 2 calculator.

** Workout** :

step 1 Address the formula, input parameters & values

n = 3

k = 2

Find what is 3 CHOOSE 2?

step 2 Substitute n and r values in below nCk formula

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

3 CHOOSE 2 =3!/2! (3 - 2)!

step 3 Find the factorial for 3!, 2! & 1!, substitute the corresponding values in the below expression and simplify.

3C2 = 3!/2! (1)!

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

= 3/1

= 3/1

3C2 = 3

3 total possible combinations for 3 CHOOSE 2