Respuesta :

Answer:

There are 924 possible combinations

Step-by-step 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: [tex]^nC_r =\frac{n!}{r!(n-r)!}[/tex]

n = 12

r = 6

Substitute the values in the formula :

[tex]^{12}C_6 =\frac{12!}{6!(12-6)!}\\^{12}C_6 =\frac{12!}{6!6!}\\^{12}C_6 =924[/tex]

Hence there are 924 possible combinations