How many words with or without meaning can be formed using 3 vowels and 2 consonants?
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Hint: Count the number of vowels and consonants in the word DAUGHTER. Let the counts be x, y respectively. The required words should have 2 vowels and 3 consonants in it. So the no. of words that contains 2 vowels and 3 consonants which can be formed from the letters of DAUGHTER is ${}^x{C_2} \times {}^y{C_3}$ Complete step-by-step answer: Note: A Permutation is arranging the objects in order. Combinations are the way of selecting the objects from a group of objects or collection. When the order of the objects does not matter then it should be considered as Combination and when the order matters then it should be considered as Permutation. Do not confuse using a combination, when required, instead of a permutation and vice-versa. The word is 'INVOLUTE' (ii) Select two consonants out of 4. (iii) Arrange the five letters (3 vowels + 2 consonants) to form words. Number of permutations = 5! (iv) Apply fundamental principle of counting: Number of words formed = = = 4 x 6 x 120 = 2880 216 Views Permutations and CombinationsHope you found this question and answer to be good. Find many more questions on Permutations and Combinations with answers for your assignments and practice. MathematicsBrowse through more topics from Mathematics for questions and snapshot. How many words can be formed using 3 consonants and 2 vowels?= 210. Number of groups, each having 3 consonants and 2 vowels = 210.
How many words with or without meaning each of 3 vowels and 2 consonants can be formed from the letters of the word supernova repetition is not allowed )?But the answer is 2880.
How many words can be formed by using 3 vowels and 2 consonants selecting from the letters of the word involute?∴ The no. of words that can be formed containing 3 vowels and 2 consonants chosen from 'INVOLUTE' is 2880.
How many words with or without meaning each of 2 vowels and 3 consonants can be formed from the letters of the word shoulder?Solution 1
Each of these 30 combinations of 2 vowels and 3 consonants can be arranged among themselves in 5! ways.
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