2. In how many ways can you form 3-letter "words" from the letters of "Adelphi" so that the first and last letters are vowels? No repeats allowed. Explain your answer

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" = 7The 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