How many 4-letter words, with or without meaning, can be formed out of the letters in the word LOGARITHMS, if repetition of letters is not allowed ? (2023)

FAQs

How many 4-letter words with or without meaning can be formed out of LOGARITHMS? ›

Solution : The word, 'LOGARITHMS' contains 10 different letters. <br> Number of 4-letter words formed out of 10 given letters <br> `=""^(10)P_(4)=(10xx9xx8xx7)=5040. ` <br> Hence, the required number of 4-letter words `= 5040.

6! Therefore, the number of four-letter words that can be formed is 5040. So the correct answer is option C.

Therefore, the number of ways in which four letters of the word MATHEMATICS can be arranged is 2454.

Explanation: LEADING is 7 letters. We have 4 places where letters are to be placed. For first letter there are 7 choices, since repetition is allowed, for second, third and fourth letter also we have 7 choices each, so total of 7*7*7*7 ways = 2401 ways.

= 5040. Q. How many four letter words can be formed from the letters of the word "LOGARITHMS", if repetation is not allowed ?

Hence, the required number of words that can be formed using four letters of the given word is 2×5×4×3×2×1=240.

Hence, if the four letter words (need not to be meaningful) are to be formed using the letter from the word “MEDITERRANEAN” such that the first letter is R and the fourth letter is E, then the total number of all such words is 59.

Hence, Number of words, with or without meanings using all the letters of the word 'DELHI' are 120.

626 words can be formed by taking $4$ letters at a time from the letters of the word 'MORADABAD.

Since 4 letter words must include 2 vowels, we don't need to select them, and the rest of the 2 letters will be taken from 5 consonants. ∴ The total number of words that can be formed is 240.

How many words with or without meaning can be formed by using the letters of the word triangle? ›

= 8! Hence, number of words, with or without meanings using all the letters of the word 'TRIANGLE' are 8!

The word MATHEMATICS consists of 2 M's, 2 A's, 2 T's, 1 H, 1 E, 1 I, 1 C and 1 S. Therefore, a total of 4989600 words can be formed using all the letters of the word MATHEMATICS.

Hence , 72 words can be formed.

= 40320. Was this answer helpful?

Hence, 360 ways of 4 letter words can be formed from the letters of the word 'ANSWER' and 120 ways of 4 letter words start with vowels.

The number of 4 letter words that can be formed using the letters of the word COMBINATION is. a. 2436.

∴ 2454 different permutations can be formed from the letter of the word EXAMINATION taken four at a time. Note: In this type of question, we have to think about all the possible cases and corner cases.

Since there is one set in which all 3 are the same letters and 6 are different letters from which we select 1 letter and arrange all the four letters. Hence it is proved that only 1422 different words that can be formed from the letters of the word INEFFECTIVE.

Therefore, 1440 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.

Hence, the number of words are 120. Q. How many words, with or without meaning, can be formed by using all the letters of the word 'DELHI', using each letter exactly once?

How many words with or without meaning can be formed using all the letters of the word daughter? ›

The total number of words formed from 'DAUGHTER' such that no vowels are together is 14400.

Hence, 5040 four lettered codes can be formed using the first 10 letters of the English alphabet, if no letter is repeated.

Therefore, 30 words can be formed from the letters of the word DAUGHTER each containing 2 vowels and 3 consonants.

Answer: 240 is the correct answer.

Required number of ways =2880.

Detailed Solution

The correct answer is 120. No of letters in COVID= 5.

A total number of arrangements of 7 letters (here all distinct) is 7! And the total number of arrangements of grouped letters (Here U, I, E, I) is . Hence, a total number of words formed during the arrangement of letters of word UNIVERSITY such that all vowels remain together is equals to 60480.

Therefore total of 176 words can be formed from the letters of the word MISSISSIPPI.

'ALLAHABAD' consist of 9 letters out of which we have 4 A's and 2 L's. 7560 different words can be formed by using all the letters of the word 'ALLAHABAD.

We have, 6 objects {B}, {H}, {A}, {R}, {A}, {T} and there are 2 A's. The number of words that can be formed out of the letters of the word 'BHARAT' is in which {B} and {H} come together is = 5! = 120. = 240.

How many words can be formed with or without meaning out of the letters of the word article so that vowels always come together? ›

Total no. of words formed=4×24×6=576.

4. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? = 210.

The number of possible combinations that are possible with 4 letters is 14,950. The alphabet contains 26 letters total, and we want to know how many combinations of 4 letters we can make from those 26 letters.

Number of different 4-letter words, with or without meanings that can be formed from the letters of the word 'NUMBER' are 360.

= 5040. Q. How many four letter words can be formed from the letters of the word "LOGARITHMS", if repetation is not allowed ?

4^th letter can be filled in 7 ways. ∴ 2401 four-lettered words can be formed when the repetition of letters is allowed.

Explanation: 'LOGARITHMS' contains 10 different letters. = Number of arrangements of 10 letters, taking 4 at a time. = 5040.

Hence, the no. of 3 letter words formed from the word LOGARITHMS without repetition is 720. Hence the correct option of this question is option (a).

Since 4 letter words must include 2 vowels, we don't need to select them, and the rest of the 2 letters will be taken from 5 consonants. ∴ The total number of words that can be formed is 240.

There are 10 letters in the word LOGARITHMS. So, the number of 4-letter words is equal to the number of arrangements of 10 letters, taken 4 at a time, i.e., . 10P4=5040. Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

How many 4-letter words can be created? ›

Solution. ∴ 840 four-letter words can be formed when the repetition of letters is not allowed.

Hence, the number of 3-letter words (with or without meaning) formed by using these letters = 10P3=10×9×8=720.

= 40320. Was this answer helpful?