Answer :

in the word EQUATION there are 5 vowels (A, E, I, O, U) and 3 consonants (Q, T, N)

The numbers of ways in which 5 vowels can be arranged are ^{5}C_{5}

………………1

Similarly, the numbers of ways in which 3 consonants can be arranged are ^{3}P_{3}

……………..2

There are two ways in which vowels and consonants can appear together

(AEIOU)(QTN) or (QTN)(AEIOU)

∴ the total number of ways in which vowel and consonant can appear together are:

2 × ^{5}C_{5} × ^{3}C_{3}

**∴ 2 × 120 × 6 = 1440**

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