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Q.

Five letter words are formed each containing two consonants and three vowels out of the letter of the word EQUATION. In how many of these are the two consonants always together?

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a

1500

b

1440

c

1360

d

None 

answer is B.

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Detailed Solution

Total number of ways
⇒ 5𝐶3 × 3𝐶2 × 4！× 2！
5 × 4
=
2

× 3 × 24 × 2
= 1440
                  
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Five letter words are formed each containing two consonants and three vowels out of the letter of the word EQUATION. In how many of these are the two consonants always together?