Question

How many words, with or without meaning can be made form the letter of the word MONDAY, assuming that no letter is repeated , if all letters are used but first letter is a vowel?

Answer 1

In MONDAY there are

two vowels O and A.

first letter can be selected

by 2 ways.

No. of ways taking 5

different letters from

remaining 5 letters ${=}^5{P}_5$

$=\frac{5!}{(5-5)!}=\frac{5!}{0!}$

$=\frac{5\times 4\times 3\times 2\times 1}{1}=120$ ways

$\therefore$ Required no. of ways

$=2\times 120=240$ ways.