Question 20 of 42intermediate🔧 ApplyNumerical4 marks
How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if (i) 4 letters are used at a time, (ii) all letters are used at a time, (iii) all letters are used but first letter is a vowel?
(i)
Answer
360 words
(ii)
Answer
720 words
(iii)
Answer
240 words
Explanation
This question from the NCERT textbook tests the concept of permutations. The word MONDAY has 6 distinct letters with no repetition. For part (i), we calculate permutations of 6 letters taken 4 at a time using the formula ⁿPᵣ. For part (ii), we arrange all 6 distinct letters. For part (iii), we apply the restriction that the first letter must be a vowel, then arrange the remaining letters.