How many words with or without meaning each of 2 vowels and 3 consonants can be formed from the letters of the word'daughter'
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Answer:
Step-by-step explanation:
These letters should be arranged so that the vowels and consonants occur together. so no.of words formed are 30. 5!= 30.5.4.3.2.1 =120.30=3600.
Answered by
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Here Is Your Answer Mate....;
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 = 3c2 = 3!/2!(3 – 2)! = 3
No. of ways to select a consonant = 5c3 = 5!/3!(5 – 3)! = 10
Now you know that the number of combinations of 3 consonants and 2 vowels = 10x 3 = 30
Total number of words = 30 × 5! = 3600 ways
Hope it's Helpful....:)
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