out of 6 consonant and 3 vowels how many words of 4 consonant and 2 vowels can be formed
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Answer:
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2
Answer:
32,400 words can be formed.
Step-by-step explanation:
Out of given 6 consonants & 3 vowels, words of 6 letters consisting of 4 consonants & 2 vowels are to be formed. Now selecting 4 consonants out of 6, No. of ways = 6C4 = (6!/2!×4! ) = 15 and
selecting 2 vowels out of given 3 vowels, No. of ways = 3C2 = 3.
Now these selected 6 letters words can be permuted among themselves in (6!) ways. Hence total no. of Possible words = 15 × 3 × (6!) = 45 × 720 = 32,400 .
Hope you understand it
Thank you
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