\(\binom{4}{0}+\binom{5}{1}+\binom{6}{2}+\binom{7}{3}.\)
ARe they meant to be binomial coefficients or vectors or what?
Binomial Coefficients...
Then just do it with a calculator.
Most calc have an \(^nC_r\) button
the first one is just
\(4\;^nC_r\;0+ etc\\ \text{Anyway you should know that }^nC_r\;0 =1\)
On the web 2 calc just write in
nCr(4,0) + etc