Answer:
The value of the expression is:
84
Step-by-step explanation:
We have to find the value of the expression:
[tex]9_C_3[/tex]
i.e. we have to find the value of the combination.
We know that a combination of r choices out of n given objects is calculated as:
[tex]n_C_r=\dfrac{n!}{r!(n-r)!}[/tex]
Here wehave :
n=9 and r=3.
Hence the value of the given combination is calculated as:
[tex]9_C_3=\dfrac{9!}{3!\times (9-3)!}\\\\9_C_3=\dfrac{9!}{3!\times 6!}\\\\9_C_3=\dfrac{9\times 8\times 7}{3\times 2}\\\\9_C_3=84[/tex]
Hence, the value of the expression is:
84
