Answer:
The total number of ways are 30.
Step-by-step explanation:
Consider the provided information.
We need to write 3-letter "words" from the letters of "Adelphi" so that the first and last letters are vowels.
The number of letters in "Adelphi" = 7
The number of vowels are = 3
It is given that the first and last letters are vowels.
For first letter we have 3 choices, and for the last letter we have 2 choices as repetition is not allowed.
If we have selected first and last letter that means now we have 5 letters for the middle letter. (7-2=5)
So the number of possible choices for the 2nd letter is 5.
Hence, the total number of ways are: 3×5×2 = 30 ways
