Home
Class 12
MATHS
If all the words (with or without meanin...

If all the words (with or without meaning) having five letters, formed using the letters of the word SMALL and arranged as in a dictionary; then the position of the word SMALL is : (1) 46th (2) 59th (3) 52nd (4) 58th

A

46th

B

59th

C

52nd

D

58th

Text Solution

Verified by Experts

The correct Answer is:
D
Clearly, number of words start with `A = (4!)/(2!) = 12`
Number of words start with `L = 4! = 24`
Number of words start with `M = (4!)/(2!) = 12`
Number of words start with `SA = (3!)/(2!) = 3`
Number of words start with `SL = 3! = 6`
Note that, next word will be "SMALL".
Hence, the position of word "SMALL" is 58th.
Promotional Banner

Similar Questions

Explore conceptually related problems

How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?

Find the number of words with or without meaning which can be made using all letters of the word 'AGAIN'. If these words are written as in a dictionary, what will be the 50^(th) word?

How many 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?

How many words (with or without dictionary meaning ) can be made from the letters of the word MONDAY, assuming that no letter is repeated , if

Find the number 4 letter words, with or without meaning, which can be formed out of the letters of the word MAKE, where the repetition of the letters is not allowed.

I fall the words formed form the letters of the word HORROR are arranged in the opposite order as they are in a dictionary then the rank of the word HORROR is a. 56 b. 57 c. 58 d. 59

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

Find the number of 4 letter words, with or without meaning, which can be formed out of the letters of the word ROSE, where the repetition of the letters is not allowed.

If the letters of the word HEELLI are permuted in all possible ways and arranged in dictionary order. Find the rank of this word.