How many 4 letter words with or without meaning can be formed from EXAMINATION?
Hint: We can take the letters in the given word and count them. Then we can find the permutation of forming 4 letters words with the letters of the given words by calculating the permutation of selecting 4 objects from n objects without replacement, where n is the number of letters in the given word which is obtained by the formula, ${}^n{P_r} = \dfrac{{n!}}{{\left( {n - r} \right)!}}$
Complete step by step solution: Show So the correct answer is option C. Note: Alternate method to solve this problem is by, How many 4Hence we have 6×3=18 words of this type. ∴ 2454 different permutations can be formed from the letter of the word EXAMINATION taken four at a time.
How many words have 4 letters with or without meaning?Hence, the answer is 5040. Was this answer helpful?
How many 4Therefore, the number of ways in which four letters of the word MATHEMATICS can be arranged is 2454.
How many 4 letters word with or without meaning can be formed out of the letter of the word LOGARITHMS if repetition of letter is not allowed?Solution : The word, 'LOGARITHMS' contains 10 different letters.
Number of 4-letter words formed out of 10 given letters `=""^(10)P_(4)=(10xx9xx8xx7)=5040. ` Hence, the required number of 4-letter words `= 5040. |