How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER ?

Views: 878 students

Found 4 tutors discussing this question

Levi Discussed

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

Solution: required =

.^{3} C_{2} .^{5} C_{3}

= 3 \cdot \frac{5 \cdot 4}{2}

= 30

TOTAL POSSIBLE WORDS :

5! \cdot 30

= 120 \cdot 30 = 3600

words
answer

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	How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER ?
Answer Type	Text solution:1
Upvotes	150