Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XI  >>  Math  >>  Permutations and Combinations
0 votes

How many words can be made from the letters of the word MONDAY assuming that no letter is repeated if 4 letters are used at a time

$\begin{array}{1 1}(A)\;360\\(B)\;325\\(C)\;350\\(D)\;175\end{array} $

Can you answer this question?

1 Answer

0 votes
Total no of letters =6
No of letters used at a time =4
No of ways =$6C_4$
$\Rightarrow \large\frac{6!}{4!2!}$
$\Rightarrow \large\frac{6\times 5\times 4!}{2\times 4!}$
$\Rightarrow 15$
No of ways of using 4 letters =4!
$\Rightarrow 4\times 3\times 2$
$\Rightarrow 24$
The total no of ways =$15\times 24$
$\Rightarrow 360$
Hence (A) is the correct answer.
answered May 19, 2014 by sreemathi.v

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App