Explanation
We are asked to choose 2 letters from 5 without replacement
To do so,
When selecting more than one item without replacement and order is important, it is called a Permutation. When the order is not important, it is called a Combination.
we are to consider two scenarios
Part A
The first one is when the order matters
When the order is relevant, we will have permutation
[tex]^5P_2=\frac{5\times4\times3!}{(5-2)!}=5\times4=20\text{ ways}[/tex]
Part B
When the order is not relevant, we will have combination
[tex]^5C_2=\frac{5\times4\times3!}{2!\times(5-2)!}=\frac{20}{2}=10\text{ WAYS}[/tex]
c
