Table of Contents
- 1 How many different ways can the letters of the word detail be arranged so that vowels occupy only odd positions?
- 2 How many different ways can the letters of the word optical be arranged so that the vowels always come together?
- 3 How many different ways can the letter of the word machine?
- 4 How many different ways can the letters of the word CORPORATION be arranged so that the vowels always come together 1 point 810 1440 2880 50400?
- 5 How many vowels occupy only the odd position in the word ‘detail’?
- 6 How do you arrange the vowels in the word machine?
How many different ways can the letters of the word detail be arranged so that vowels occupy only odd positions?
= 6. Total number of ways = (6 x 6) = 36.
How many ways can the letters in the word came be arranged if a consonant is in the fourth position?
The consonants can be arranged in 4! =24 ways.
How many different ways can the letters of the word optical be arranged so that the vowels always come together?
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.
How many different ways can the letters of the word Leading be arranged?
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 .
How many different ways can the letter of the word machine?
Required number of ways = (360 * 2) = 720. In how many different ways can the letters of the word ‘MACHINE’ be arranged so that the vowels may occupy only the odd positions? Now, 3 vowels can be placed at any of the three places, out of the four marked 1, 3, 5,7.
How many different ways can the alphabets of the word?
∴ The number of ways of arranging these letter is 64800.
How many different ways can the letters of the word CORPORATION be arranged so that the vowels always come together 1 point 810 1440 2880 50400?
= 20 ways. 3! Required number of ways = (2520 x 20) = 50400.
How many different ways can the letters of the word mathematics be arranged?
Number of ways of arranging these letters =8! / ((2!)( 2!)) = 10080. Now, AEAI has 4 letters in which A occurs 2 times and the rest are different.
How many vowels occupy only the odd position in the word ‘detail’?
Originally Answered: In how many different ways can the letters of the word “DETAIL” be arranged in such a way that the vowels occupy only the odd position? No. Of letters = 6 No. Of vowels = 3
How many different vowels can be arranged at 3 different places?
Now it is required that vowels should be placed at odd places. There are 3 odd places that is 1, 3, & 5 . So no. of arrangements of 2 vowels at 3 available places = P (3, 2) = 3!/ (3–2)! = 3! = 6 . Next , the 3 consonants i.e. { V, W, L } can be arranged at 3 vacant places in (3!) = 6 ways. Hence the total no. of arrangements = 6×6 = 36.
How do you arrange the vowels in the word machine?
There are 3 vowels in the word machine, a, i and e. The 3 letters may be arranged in 4 positions,1,3, 5 and 7, since machine has 7 letters in it. So take the first vowel, a, and that can be arranged in 4 ways, in 4 different position. So after the first letter was placed, the next one one can be placed in 3 different positions.
How many combinations of vowels are there in a word?
Grouping the vowels together means that the vowels act like a single letter, for the purpose of combining with the other letters. That leaves us with four “letters”: D, S, R and vowels. So the combinations of these four are 4! = 24 combinations.