The word KNOWLEDGE has 9 letters in total, with 4 vowels (O, E, E, E) and 5 consonants (K, N, W, L, D, G).

The vowels and consonants must remain in the same relative position, meaning we can only rearrange the vowels among themselves and the consonants among themselves.

The vowels O, E, E, E can be rearranged in 4!/3! = 4 ways (4 factorial divided by 3 factorial, to account for the repetition of the letter E).

The consonants K, N, W, L, D, G can be rearranged in 5! = 120 ways (5 factorial, as there are no repeating consonants).

Therefore, the total number of ways the letters of the word KNOWLEDGE can be rearranged so that the relative position of the vowels and consonants remain the same is 4 * 120 = 480 ways.

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The word KNOWLEDGE has 9 letters in total, with 4 vowels (O, E, E, E) and 5 consonants (K, N, W, L, D, G).

The vowels and consonants must remain in the same relative position, meaning we can only rearrange the vowels among themselves and the consonants among themselves.

The vowels O, E, E, E can be rearranged in 4!/3! = 4 ways (4 factorial divided by 3 factorial, to account for the repetition of the letter E).

The consonants K, N, W, L, D, G can be rearranged in 5! = 120 ways (5 factorial, as there are no repeating consonants).

Therefore, the total number of ways the letters of the word KNOWLEDGE can be rearranged so that the relative position of the vowels and consonants remain the same is 4 * 120 = 480 ways.

Knowee AI · Accepted Answer

The word KNOWLEDGE has 9 letters in total, with 4 vowels (O, E, E, E) and 5 consonants (K, N, W, L, D, G).

The vowels and consonants must remain in the same relative position, meaning we can only rearrange the vowels among themselves and the consonants among themselves.

The vowels O, E, E, E can be rearranged in 4!/3! = 4 ways (4 factorial divided by 3 factorial, to account for the repetition of the letter E).

The consonants K, N, W, L, D, G can be rearranged in 5! = 120 ways (5 factorial, as there are no repeating consonants).

Therefore, the total number of ways the letters of the word KNOWLEDGE can be rearranged so that the relative position of the vowels and consonants remain the same is 4 * 120 = 480 ways.

In how many ways can the letters of the word KNOWLEDGE be rearranged so that the relative position of the vowels and consonants remain the same as in the word KNOWLEDGE?

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