Table of Contents
- 1 How many words can be formed from the word laughter so that the vowels are never together?
- 2 How many words are there in which vowels are never together?
- 3 How many words can be formed such that all vowels are together?
- 4 How many words can be formed by using all the letters of the word combination so that vowels always come together?
- 5 How many different 4 letter permutations can be formed from the letters in the word hexagon?
- 6 How many words can be formed out of the letters of the word Oriental?
- 7 How many 8 letter words can be formed with 8 letters?
- 8 What is the number of letters in the word mathematics?
How many words can be formed from the word laughter so that the vowels are never together?
Answer: 4320 ways. consider AUE a one set 6!
How many words are there in which vowels are never together?
Total number of words formed by using all the letters of the given words = 5! = (5 x 4 x 3 x 2 x 1) = 120. Number of words, each having vowels never together = (120-48) = 72.
How many words can be formed from daughter if vowels are not together?
14400
The total number of words formed from ‘DAUGHTER’ such that no vowels are together is 14400.
How many ways word determination can be arranged in such that a way that vowels occupy only odd position?
= 6. Total number of ways = (6 x 6) = 36.
How many words can be formed such that all vowels are together?
Hence, total number of words formed having all vowels together = 5 ! =(5×4×3×2×1)=120.
How many words can be formed by using all the letters of the word combination so that vowels always come together?
Thus 720 words can be formed when all vowels are together.
How many words can be formed using the word daughter?
Required number of ways = 720*6 = 4320. The letters of the word daughter are “ d, a, u, g, h, t, e, r”. so, the vowels are ‘a, u, e’ and the consonants are “d, g, h, t, r”. Now, all the vowels should come together, so consider the bundle of vowels as one letter, then total letters will be 6.
How many words with or without meaning can be formed by using T letters of the word mixture so that the vowels are never together?
How many words, with or without meaning, can be formed using all the letters of the word EQUATION at a time so that the vowels and consonants occur together? Therefore, total no. of words =2×120×6=1440.
How many different 4 letter permutations can be formed from the letters in the word hexagon?
Learn the definition of factorial and how factorials work in mathematics.
How many words can be formed out of the letters of the word Oriental?
Permutations and Combinations How many words can be formed by using the letters of the word ‘ORIENTAL’ so that A and E always occupy the odd places? Step II: After A and E are fixed, there will be 6 letters left and 6 boxes for them. Hence, from (i) and (ii), the total number of words formed = 12 x 720 = 8640.
How many words have 3 vowels that are always together?
Now, bunch up the 3 vowels to be considered as one letter so that there are 6 letters (l,g,h,t,r & aue) whichand can be arranged in 6! = 720 ways and for each such arrangement the 3 vowels can be arranged among themselves in 3! = 6 ways, so that the number of words where vowels are always together will be 720 ∗ 6 = 4320.
How many words can be formed from a bundle of vowels?
(i) Now, all the vowels should come together, so consider the bundle of vowels as one letter, then total letters will be 6. So, the number of words formed by these letters will be 6!
How many 8 letter words can be formed with 8 letters?
There are 8 letters in the word laughter of which there are 3 vowels (a,u & e). Total number of words that can be formed with 8 letters is 8! = 40320.
What is the number of letters in the word mathematics?
The word ‘MATHEMATICS’ has 11 letters. It has the vowels ‘A’,’E’,’A’,’I’ in it and these 4 vowels must always come together. Hence these 4 vowels can be grouped and considered as a single letter. That is, MTHMTCS (AEAI). Hence we can assume total letters as 8.