Answer:
\({325 \choose 1}=325\)
Step-by-step explanation:
Given : \({325 \choose 1}\)
We have to find the value of given combination.
Consider the given expression \({325 \choose 1}\)
We know
Given a number of subset of r elements out of n elements is given by,
\({n \choose r}=\frac{n!}{r!\left(n-r\right)!}\)
Comparing , we have n = 325 and r = 1
Substitute, we get,
\({325 \choose 1}=\frac{325!}{1!\left(325-1\right)!}\)
On simplifying, we get,
\({325 \choose 1}=\frac{325!}{1!\left(324\right)!}\)
\(325!=325 \times 324!\) substitute, we get,
\({325 \choose 1}=\frac{325 \times 324!}{1!\left(324\right)!}\)
On simplifying, we get,
\({325 \choose 1}=\frac{325}{1!}\)
Thus, \({325 \choose 1}=325\)
