Answer:
[tex]\boxed{\boxed{C(7,4)=35}}[/tex]
Step-by-step explanation:
Here, we have to calculate
[tex]C(7,4)=\dbinom{7}{4}[/tex]
From combination we know that,
[tex]\dbinom{n}{r}=\dfrac{n!}{r!(n-r)!}[/tex]
Here,
n = 7 and r = 4, so putting these,
[tex]\dbinom{7}{4}=\dfrac{7!}{4!(7-4)!}[/tex]
[tex]=\dfrac{7!}{4!\ 3!}[/tex]
[tex]=\dfrac{5040}{24\times 6}[/tex]
[tex]=\dfrac{5040}{144}[/tex]
[tex]=35[/tex]
