Five letter words, having distinct letters, are to be constructed using the letters of the word 'EQUATION' so that each word contains exactly three vowels and two consonants. How many of them have all the vowels together?

Question

Five letter words, having distinct letters, are to be constructed using the letters of the word 'EQUATION' so that each word contains exactly three vowels and two consonants. How many of them have all the vowels together? (A) 3600 (B) 1800 (C) 1080 (D) 900

Tardigrade Admin · Accepted Answer

Vowels = E , U , I , O , A Consonants = Q , T , N <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/ec32a93e4d070856892705d703dbfa03-.png" /> =10 × 3 × 6 × 6=1080

Q. Five letter words, having distinct letters, are to be constructed using the letters of the word 'EQUATION' so that each word contains exactly three vowels and two consonants. How many of them have all the vowels together?

3600

1800

1080

900

Vowels $= E, U, I, O, A$
Consonants $= Q, T, N$

$= 10 \times 3 \times 6 \times 6 = 1080$

Q. Five letter words, having distinct letters, are to be constructed using the letters of the word 'EQUATION' so that each word contains exactly three vowels and two consonants. How many of them have all the vowels together?

3600

1800

1080

900

Vowels =E,U,I,O,A Consonants =Q,T,N =10×3×6×6=1080

Vowels $= E, U, I, O, A$
Consonants $= Q, T, N$

$= 10 \times 3 \times 6 \times 6 = 1080$