Table of Contents
- 1 How many unique ways are there to arrange the letters in the word question?
- 2 How many different ways can the letters of the word Leading be arranged in such a way that the vowels always come together *?
- 3 How many ways can you arrange the letters in prior?
- 4 How many different ways can the letters of the word telephone be arranged in such a way that the vowels never come together?
- 5 How many ways can the vowels OIA be arranged among themselves?
- 6 How many $5 $ letters can be arranged in $5 ways?
How many unique ways are there to arrange the letters in the word question?
The answer is 360.
How many different ways can the letters of the word Leading be arranged in such a way that the vowels always come together *?
Solution(By Examveda Team) 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 = 5) letters can be arranged in 5!
How many different five letter code words can be arranged using the 26 letters of the alphabet if no letter is repeated?
Using the 26 English letters, the number of 5-letter words that can be made if the letters are distinct is determined as follows: 26P5=26×25×24×23×22=7893600 different words. What if the letters in each word are in alphabetical order?
How many unique ways are there to arrange the letters in the word schools?
Detailed Solution There are 6 letters in the word SCHOOL out of which O occurs twice. ∴ Required number of arrangements = 6!/2! ∴ 360 arrangements can be made using the letters of the word SCHOOL.
How many ways can you arrange the letters in prior?
Hence, there are 60 unique ways to arrange the letters of the word “PRIOR”.
How many different ways can the letters of the word telephone be arranged in such a way that the vowels never come together?
of permutations possible with vowels never together = 360-120 = 240.
How many different ways can the letters of the word therapy be arranged?
In how many different ways can the letters of the word ‘THERAPY’ be arranged so that the vowels never come together? Given word is THERAPY. These 7 letters can be arranged in 7! ways.
How many ways to arrange letters of a word?
Number of Ways to Arrance ‘n’ Letters of a Word ‘n’ Letters Words Ways to Arrange 7 Letters Word 5,040 Distinct Ways 8 Letters Word 40,320 Distinct Ways 9 Letters Word 362,880 Distinct Ways 10 Letters Word 3,628,800 Distinct Ways
How many ways can the vowels OIA be arranged among themselves?
When the vowels OIA are always together, they can be supposed to form one letter. Then, we have to arrange the letters PTCL (OIA). Now, 5 letters can be arranged in 5! = 120 ways. The vowels (OIA) can be arranged among themselves in 3! = 6 ways.
How many $5 $ letters can be arranged in $5 ways?
Answer: The word ‘OPTICAL’ contains $7$ different letters. When the vowels OIA are always together, they can be supposed to form one letter. Then, we have to arrange the letters PTCL (OIA). Now, $5$ letters can be arranged in $5! = 120$ ways.