The number of 4 letter words that can be formed using the letters of the word EQUATION. How many of them “Begin and end with vowels”

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$^{8} P_{2} \times^{3} P_{2}$

$^{8} P_{2} \times^{6} P_{2}$

$^{5} P_{2} \times^{6} P_{2}$

$^{5} P_{2} \times^{3} P_{2}$

answer is B.

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Detailed Solution

Given word “EQUATION”

Number of vowels $= 5$

Number of consonants $= 3$

The number of 4 letters word that can be formed using letter the word $=^{8} P_{4}$

Begin and end with vowel $=^{5} P_{2} \times^{6} P_{2}$

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