How many ways can the letters of the word Learn be arranged so that the vowels always come together?
How many ways can the letters of the word Learn be arranged so that the vowels always come together?
120 ways
When the vowels EAI are always together, they can be supposed to form one letter. Then, we have to arrange the letters LNDG (EAI). Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways….Exercise :: Permutation and Combination – General Questions.
| in | 5! | = 20 ways. |
|---|---|---|
| 3! |
How many ways can the letters of the word college be rearranged such that all the vowels are together?
vowels don’t come together =1260-180=1080.
How many different ways the word college can be rearranged?
So , the word COLLEGE can be arranged in 1260 ways .
How many different ways can the letters in the word college be scrambled?
These can be arranged in 6! /2! = 360 ways.
How many different ways can the letter of the word optical?
=120 ways. The vowels (OIA) can be arranged among themselves in 3!
How many ways can the vowels (EAI) be arranged among themselves?
When the vowels EAI are always together, they can be supposed to form one letter. Then, we have to arrange the letters LNDG (EAI). Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways. The vowels (EAI) can be arranged among themselves in 3! = 6 ways.
How many ways can you arrange the letters of the word leading?
The word ‘LEADING’ has 7 different letters. When the vowels EAI are always together, they can be supposed to form one letter. Then, we have to arrange the letters LNDG (EAI). Now, 5 (4 + 1) letters can be arranged in 5! = 120 ways. The vowels (EAI) can be arranged among themselves in 3! = 6 ways. Required number of ways = (120 x 6) = 720.
How many ways can you arrange 5 vowels in one word?
There are 3 vowels E A E. So taking all the vowels as one letter we get 5 letter word to arrange. So we can arrange them in 5! Ways.But we have two E so we have to divide it by 2!
How many different ways can 5 letters be arranged in 5?
The word ‘LEADING’ has 7 different letters. When the vowels EAI are always together, they can be supposed to form one letter. Then, we have to arrange the letters LNDG (EAI). Now, 5 (4 + 1) letters can be arranged in 5! = 120 ways.