Suppose that 10 fish are caught at a lake that contains 5

Step 1 of 3

There are 10 fish in lake and containing 5 different fishes

a) We have to find how many possible ways of getting all 5 different fishes

 Now the possible ways of n can be distributed among k is \(\left(\begin{array}{l}
n+k-1 \\
k-1
\end{array}\right)\)

Now possible ways of getting 5 different fishes from 10 fish is

\(\left(\frac{10+5-1}{5-1}\right)=\left(\begin{array}{l}
14 \\
4
\end{array}\right)\)

\(=1001\)

Hence there are 1001 possible ways of getting 5 different fishes from 10 fishes