Using all the letters of the word LINEAR.
How many words start with a vowel but end with a consonant?
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Given,
The letter 'LINEAR' is given.
To find,
We have to find the number of words that start with a vowel but end with a consonant.
Solution,
The number of words that start with a vowel but end with a consonant is 11664.
We can simply find the number of words by using the concepts of permutations.
Total number of vowels in 'LINEAR' = 3
Total number of consonants in 'LINEAR'=3
The total number of letters that can be fit in the first place and last place is 3 and the rest of the places is 6.
Total number of words = 3*6*6*6*6*3
= 11664
Hence, the number of words that start with a vowel but end with a consonant is 11664.
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