Question

Evaluate

12C3

Please show your work - Thank you!

Answer 1

12C3 means nCr
You have 12 items of which you want to choose 3 and the order in which you choose them does not matter.


n! 12! 12! 479001600
---------- = -------- = ------- = ----------------- = 220
(r!(n-r)! 3!(12-3)! 3!(9!) 21177280

Answer 2

Answer: 220

Explanation:

We know that the combination is a method to determine the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we apply the formula given below:-

`^nC_r = (n!)/((n-r)!r!)`, where n represents the total number of items, and r represents the number of things being chosen at a time.

The given expression :
`^(12)C_3`

Then by using above formula , we have

`^(12)C_3 = (12!)/((12-3)!3!)\\\\=(12*11*10*9!)/(9!*6)=220`