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How Many words, with or without meaning, each of 2 vowels and

Question

How Many words, with or without meaning, each of $2$ vowels and $3$ consonants can be formed from the letters of the word $D A U G H TER$ ?

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Luna Discussed

How Many words, with or without meaning, each of

2

vowels and

3

consonants can be formed from the letters of the word

D A U G H TER

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

Total number of letters are

8

Total vowels

= 3

and consonants

= 5

Now we have to make a word using five letters from given word.

Here we have to choose

2

out of three vowels and

3

out of

5

consonants which can further be arranged in

5!

ways.

^{3} C_{2} \times^{5} C_{3} \times 5!

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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 $D A U G H TER$ ?
Answer Type	Text solution:1
Upvotes	150