How many words, with or without meaning, can be formed with the letters of word ‘MONDAY’ assuming, that no letter is repeated, if 4 letters are used but the first letter is a vowel ?
Number of letters in word 'MONDAY' = 6 (all district)
Number of vowels = 2 (O and A)
Number of letters to be used in 4 and first letter is a vowel,
Number of arrangements for box 1 = (i)
(Two vowels for 1 box)
We now have 5 letters left and 3 boxes for them.
n = 5, r = 3
∴ The number of permutations ...(ii)
Hence, from (i) and (ii), the total number of permutations i.e., the number of words formed:
= 2 x 60 = 120.