How many meaningful English words can be formed with the third, fourth, seventh and eighth letters of the word "CONSISTENCY", using each letter only once in each word? (To be counted from left)
Four
This question asks us to find the number of meaningful English words that can be formed using specific letters from the word "CONSISTENCY". We need to use the 3rd, 4th, 7th, and 8th letters only once for each word.
Identifying Key Letters from CONSISTENCY
First, let's identify the letters at the specified positions in the word "CONSISTENCY". The word has 11 letters.
Word: C O N S I S T E N C Y
Positions: 1 2 3 4 5 6 7 8 9 10 11
- The 3rd letter is N.
- The 4th letter is S.
- The 7th letter is T.
- The 8th letter is E.
So, the letters we have to work with are N, S, T, E.
Forming Meaningful English Words
The task is to form meaningful English words using these four letters (N, S, T, E), using each letter exactly once in each word. This means we are looking for 4-letter arrangements (permutations) of these letters that form valid words.
The total number of possible arrangements (permutations) of these 4 distinct letters is calculated using the factorial formula:
$$ P(n, k) = \frac{n!}{(n-k)!} $$In this case, $n=4$ (number of letters available) and $k=4$ (length of the word to be formed). So, the total number of permutations is:
$$ P(4, 4) = 4! = 4 \times 3 \times 2 \times 1 = 24 $$Now, let's check which of these 24 arrangements are meaningful English words:
- NEST: This is a meaningful English word (a bird's home).
- NETS: This is a meaningful English word (plural of net).
- SENT: This is a meaningful English word (past tense of send).
- TENS: This is a meaningful English word (plural of ten).
- STEN: This is a less common word, referring to a type of firearm or a surname, but it is recognized in some dictionaries.
- ENTS: This can refer to mythical tree-like creatures or sometimes a shorthand, but it's less common as a standard dictionary word compared to the others.
Considering the most common and widely accepted English words formed from these letters, we find four primary words:
- NEST
- NETS
- SENT
- TENS
Therefore, there are 4 meaningful English words that can be formed using the letters N, S, T, E exactly once.
Matching the Count to the Options
The number of words found is 4. Comparing this to the given options:
- One
- Two
- Three
- Four
- More than four
The count of 4 matches the option "Four".
Important Questions from Dictionary or Alphabet Based
Select the option that represents the correct order of the given words as they would appear in an English dictionary.
1. Lesage
2. Laudatory
3. Laureate
4. Latitude
5. Legacy
6. Laudanum
7. Launder
Each vowel in the word “ETHICAL” is changed to the following letter in the English alphabetical series and each consonant is changed to the previous letter in the English alphabetical series. In the newly formed word, how many alphabets are there in the English alphabetical series between the alphabet which is 3rd from the left and 1st from the right?
All the alphabets in the word ‘DICTIONARY’ are arranged in the alphabetical order. How many alphabets are there in the English alphabetical series between the alphabet which is fourth from the left end and the one which is second from the right end in the newly formed letter-cluster?
Select the combination of numbers so that the jumbled letters arranged accordingly will form a meaningful English word.
O H R E M T
1 2 3 4 5 6
The position of how many letters will remain unchanged if each of the letter in the word ‘FINGER' is arranged in alphabetical order?
