Evaluate C(7, 7). a) 0 b) 1 c) 7

We have to find the value of C(7,7)We will evaluate this using the combination formula which states:[tex] C(n,r)=^nC_{r}=\frac{n!}{r!(n-r)!} [/tex]Putting the value n = r= 7we get,[tex] C(7,7)=^7C_{7}=\frac{7!}{7!(7-7)!} [/tex]= [tex] \frac{7!}{7!(0)!} [/tex]Since the value of 0! is 1So, C(7,7)= [tex] \frac{7!}{7!} [/tex]C(7,7)=1Therefore, the value of C(7,7) is 1.So, Option B is the correct answer.