Question

Evaluate C(7, 4) 35 210 5,040

Answer 1

Answer:

$\boxed{\boxed{C(7,4)=35}}$

Step-by-step explanation:

Here, we have to calculate

$C(7,4)=\dbinom{7}{4}$

From combination we know that,

$\dbinom{n}{r}=\dfrac{n!}{r!(n-r)!}$

Here,

n = 7 and r = 4, so putting these,

$\dbinom{7}{4}=\dfrac{7!}{4!(7-4)!}$

$=\dfrac{7!}{4!\ 3!}$

$=\dfrac{5040}{24\times 6}$

$=\dfrac{5040}{144}$

$=35$