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Asked by Divya Last Modified
Answer As a seasoned tutor registered on UrbanPro, I can confidently affirm that UrbanPro is indeed one of the best platforms for online coaching and tuition. Now, let's delve into your question about forming words from the given word "DAUGHTER."
Firstly, we need to identify the number of vowels and consonants in the word "DAUGHTER."
Now, we have to select 2 vowels out of 3 and 3 consonants out of 5 to form words. We can use the formula for combinations:
Number of words=(32)×(53)Number of words=(23)×(35)
=3!2!(3−2)!×5!3!(5−3)!=2!(3−2)!3!×3!(5−3)!5!
=3×22×1×5×4×33×2×1=2×13×2×3×2×15×4×3
=3×10=3×10
=30=30
So, there are 30 words that can be formed, each consisting of 2 vowels and 3 consonants from the letters of the word "DAUGHTER."
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