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?

Question

Philoid · Accepted Answer

Total number of letters in MONDAY =6

(i) No. of letters to be used =4

⇒ No. of permutations =

(ii) No. of letters to be used =6

⇒ No. of permutations =

(iii) No. of vowels in MONDAY = 2 (O and A)

⇒ No. of permutations in vowel =

Now, remaining places =5

Remaining letters to be used =5

⇒ No. of permutations =

Therefore, total number of permutations = 2 × 120 =240.

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?