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How many ways can the letter of the word strange can be arranged so that the vowels come together?
There are 7 letters in the word STRANGE. We wish to find the total number of arrangements of these 7 letters so that the vowels occupy only odd positions. There are 2 vowels and 4 odd positions. These 2 vowels can be arranged in the 4 positions in 4 3 ways, i.e. 12 ways.
How many ways can be letters of the word failure be arranged so that the consonants may Occupyonly odd places?
P (4, 3) × P (4, 3) = 4!/(4 – 3)! × 4!/(4 – 3)! Thus, the number of arrangements therefore that the consonants occupy only odd positions is 576.
How many ways can the letters of the word curtain be arranged such that the consonants always occupy even places?
Total number of ways = (6 x 6) = 36.
How many ways can the letters of the word strange be arranged?
ways. (a) There are 7 letters in the word ‘STRANGE’ amongst which 2 are vowels and there are 4 odd places (1, 3, 5, 7) where these two vowels are to be placed together. And corresponding to these 12 ways the other 5 letters may be placed in 5! ways =5×4×3×2×1=120.
How many ways education can be arranged?
= 120 ways; and for each arrangement of these vowel letters, the four consonant letters can be arranged in (4!) = 24 ways. Therefore, the answer will be in (120*24) = 2880 ways.
How many ways failure can be arranged?
Answer is 576. There are seven letters in the word ‘FAILURE’ out of which the consonants are- F, L and R. And the vowels are A,E,I and U. There are total 4 odd positions (1st, 3rd, 5th and 7th) and 3 even positions (2nd, 4th and 6th) to fill.
How many different ways can the letters in the word failure be arranged?
The number of arrangements of the letters in the word FAILURE, so that vowels are always coming together is. 576. 575. 570.
How many ways can the letters of the word failure be arranged so that the consonants may occupy only odd positions a 576?
What is the number of Odd Places in the English alphabet?
Number of odd places are 4 (1, 3, 5, 7). Vowels have to occupy 3 out of these 4 place s which can be done in 4C3 ways = 4. These can also be arranged in any order such as (AIE or EIA or AEI and so on). The number of ways in which it can be done are 3! = 6. We also have 4 consonants and the vacant places are also 4.
How many different vowels can be arranged among themselves?
They can be arranged among them self in 6! ways and two vowels can again be arranged in 2! ways. The number of arrangements in which the vowels do not come together can be obtained by subtracting from the total number of arrangements in which the vowels come together. Now, the total number of arrangements is 7!
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 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.