Get 2 FREE Instant-Explanations on Filo with code FILOAPP

The English alphabet has 5 vowels and 21 consonants. How many

Question

The English alphabet has $5$ vowels and $21$ consonants. How many words with two different vowels and $2$ different consonants can be formed from the alphabet?

Views: 821 students

Found 5 tutors discussing this question

William Discussed

The English alphabet has

5

vowels and

21

consonants. How many words with two different vowels and

2

different consonants can be formed from the alphabet?

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

We need

2

vowels and

2

consonants. So first we need to choose them and then they can be arranged.

Choosing =

5 C_{2} \times^{21} C_{2}

They can be arranged in

4!

ways.

So total number of words are

4! \times 5 C_{2} \times^{21} C_{2}

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	The English alphabet has $5$ vowels and $21$ consonants. How many words with two different vowels and $2$ different consonants can be formed from the alphabet?
Answer Type	Text solution:1
Upvotes	150