# How many words, w

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 5C5

………………1

Similarly, the numbers of ways in which 3 consonants can be arranged are 3P3

……………..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 × 5C5 × 3C3

∴ 2 × 120 × 6 = 1440

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Prove that the prRD Sharma - Mathematics

There are 10 lampMathematics - Exemplar

If n+1RS Aggarwal - Mathematics

If nC<RS Aggarwal - Mathematics

Fill in the BlankMathematics - Exemplar

Fill in the BlankMathematics - Exemplar

The number of wayMathematics - Exemplar

Total number of wMathematics - Exemplar

The number of wayMathematics - Exemplar

The number of triMathematics - Exemplar