The word "EDUCATION" has 9 letters in total, in which there are 5 vowels (E, U, A, I, O) and 4 consonants (D, C, T, N).

When the question says "all the consonants are always together", we can treat all the consonants (D, C, T, N) as a single letter. So, we have 6 "letters" to arrange: 5 vowels and 1 "consonant group" (D, C, T, N).

The number of ways to arrange these 6 "letters" is 6! (6 factorial).

Within the "consonant group" (D, C, T, N), we have 4 letters. The number of ways to arrange these 4 letters is 4!.

So, the total number of different words that can be formed is 6! X 4!.

Therefore, the correct answer is 6! X 4!.

Question

The word "EDUCATION" has 9 letters in total, in which there are 5 vowels (E, U, A, I, O) and 4 consonants (D, C, T, N).

When the question says "all the consonants are always together", we can treat all the consonants (D, C, T, N) as a single letter. So, we have 6 "letters" to arrange: 5 vowels and 1 "consonant group" (D, C, T, N).

The number of ways to arrange these 6 "letters" is 6! (6 factorial).

Within the "consonant group" (D, C, T, N), we have 4 letters. The number of ways to arrange these 4 letters is 4!.

So, the total number of different words that can be formed is 6! X 4!.

Therefore, the correct answer is 6! X 4!.

Knowee AI · Accepted Answer

The word "EDUCATION" has 9 letters in total, in which there are 5 vowels (E, U, A, I, O) and 4 consonants (D, C, T, N).

When the question says "all the consonants are always together", we can treat all the consonants (D, C, T, N) as a single letter. So, we have 6 "letters" to arrange: 5 vowels and 1 "consonant group" (D, C, T, N).

The number of ways to arrange these 6 "letters" is 6! (6 factorial).

Within the "consonant group" (D, C, T, N), we have 4 letters. The number of ways to arrange these 4 letters is 4!.

So, the total number of different words that can be formed is 6! X 4!.

Therefore, the correct answer is 6! X 4!.

Q26 of 30 Marks 1 General Instructions 110% ×CloseTest time left: 35:56Select the correct answerHow many different words can be formed using the letters of the word “EDUCATION‘ such that, All the consonants are always together ?Options6! X 4!6!6! X 42 X 8!

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