Master Vowels In One Class

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Find the number of ways of selection of at least one vowel and one consonant from the word TRlPLE.

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How many words of 4 different letters can be formed out 7 capital letters 3 vowels and 5 consonants if each word starts with a capital letter and contains at least one vowel.

With 17 consonants and 5 vowels the number of words of four letters that can be formed having two different vowels in the middle and one consonant, repeated or different at each end is

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Number of ways in which the letters of the word W can be arranged if atleast one vowel is separated from rest of the vowels

A word consists of 7 letters : 4 consonants and 3 vowels. If three letters are chosen at random, then the probability that more than one vowel will be selected, is