How many words,with or without meaning can be formed using all the letters of the word EQUATION at a time so that the vowels and consonants occur together?
Asked by aruni_maiyer | 21st Oct, 2010, 02:14: PM
The word 'EQUATION' has 8 letters.
There are 5 vowels: a, e, i, o, u and 3 consonants : q, t, n.
Form 2 groups V(vowels) and C (consonants)
We first arrange the 2 groups.
These 2 groups can be arranged in 2! =2 ways
Now the group V has 5 elements, they can be arranged in 5! = 120 ways.
Now the group C has 3 elements, they can be arranged in 3! = 6 ways.
By fundamental theorem,
the total no of ways = 2! . 5! . 3!
= 1440 .
We hope that clarifies your query,
Team Topper Learning.
Answered by | 21st Oct, 2010, 03:17: PM
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Verify mobile number
Enter the OTP sent to your number