Question

Question 3 point

Suppose there are 6 marbles be selected from a box of 12 marbles. How many possible
combinations are there?
Submit
Saeedam

Answer 1

There are 924 possible combinations

Explanation:

Total Number of marbles = 12

Number of marbles to be selected = 6

We are supposed to find the number of possible combinations .

So, we will use combination .

Formula:
`^nC_r =(n!)/(r!(n-r)!)`

n = 12

r = 6

Substitute the values in the formula :

`^(12)C_6 =(12!)/(6!(12-6)!)\\^(12)C_6 =(12!)/(6!6!)\\^(12)C_6 =924`

Hence there are 924 possible combinations