Answer:
The correct option is d.) 26C3 = 2600
Step-by-step explanation:
How many ways are there to pick a subset of 3 different letters from the 26-letter alphabet?
This a selection problem therefore we will use combination.
Therefore to pick a subset of 3 different letters from the 26 letter alphabet is given by
[tex]\binom{26}{3} = \frac{26!}{3!\times(26-3)!} = \frac{26\times25\times24}{6} = 2600[/tex]
Therefore the correct option is d.) 26C3 = 2600