The word "EDUCATION" has 9 letters in total, and 5 of them are vowels (E, U, A, I, O).

If we want to form words that always end with a vowel, we can consider the last position as reserved for the vowels.

So, we have 5 choices for the last position (since there are 5 vowels).

For the remaining 8 positions, we can use any of the 8 remaining letters (4 vowels + 4 consonants).

Therefore, the total number of different words that can be formed is 8! (for the first 8 positions) * 5 (for the last position) = 5 * 8!

So, the correct answer is 5 * 8!.

Question

The word "EDUCATION" has 9 letters in total, and 5 of them are vowels (E, U, A, I, O).

If we want to form words that always end with a vowel, we can consider the last position as reserved for the vowels.

So, we have 5 choices for the last position (since there are 5 vowels).

For the remaining 8 positions, we can use any of the 8 remaining letters (4 vowels + 4 consonants).

Therefore, the total number of different words that can be formed is 8! (for the first 8 positions) * 5 (for the last position) = 5 * 8!

So, the correct answer is 5 * 8!.

Knowee AI · Accepted Answer

The word "EDUCATION" has 9 letters in total, and 5 of them are vowels (E, U, A, I, O).

If we want to form words that always end with a vowel, we can consider the last position as reserved for the vowels.

So, we have 5 choices for the last position (since there are 5 vowels).

For the remaining 8 positions, we can use any of the 8 remaining letters (4 vowels + 4 consonants).

Therefore, the total number of different words that can be formed is 8! (for the first 8 positions) * 5 (for the last position) = 5 * 8!

So, the correct answer is 5 * 8!.

How many different words can be formed using the letters of the word “EDUCATION‘ such that , the word always ends with a vowel?Options9!8!5! X 8!5 x 8!