Question

How many words can be formed each of 2 vowels and 3 consonants from the letters of the given word – DAUGHTER?​

Answer 1

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$\Large\fbox{\color{purple}{QUESTION}}$

How many words can be formed each of 2 vowels and 3 consonants from the letters of the given word – DAUGHTER?

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$\Large\fbox{\color{purple}{ SOLUTION }}$

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➡️No. of Vowels in the word – DAUGHTER is 3.

➡️No. of Consonants in the word Daughter is 5.

➡️No of ways to select a vowel = 3^c2 = 3!/(3 – 2)! = 3

➡️No. of ways to select a consonant = 5^c3 = 5!/(5 – 3)! = 10

➡️Now you know that the number of combinations of 3 consonants and 2 vowels = 10 x 3 = 30

➡️And these can be arranged in 30 x 5! = 3600 ways.

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Answer 2

Answer:

⭐ SOLUTION ⭐

➡️No. of Vowels in the word – DAUGHTER is 3.

➡️No. of Consonants in the word Daughter is 5.

➡️No of ways to select a vowel = 3^c2 = 3!/(3 – 2)! = 3

➡️No. of ways to select a consonant = 5^c3 = 5!/(5 – 3)! = 10

➡️Now you know that the number of combinations of 3 consonants and 2 vowels = 10 x 3 = 30

➡️And these can be arranged in 30 x 5! = 3600 ways.✔✔

Step-by-step explanation:

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