logo

Ask Questions, Get Answers

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

How many words,with or without meaning 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)\;350\\(B)\;360\\(C)\;370\\(D)\;380\end{array} $

Can you answer this question?
 
 

1 Answer

0 votes
Toolbox:
  • $nP_r=\large\frac{n!}{(n-r)!}$
MONDAY has 6 letters
4 letters are taken at a time
Number of words =$6P_4$
$\Rightarrow \large\frac{6!}{(6-4)!}$
$\Rightarrow \large\frac{6!}{2!}$
$\Rightarrow \large\frac{6\times 5\times 4\times 3\times 2\times 1}{2\times 1}$
$\Rightarrow 360$
Hence (B) is the correct answer.
answered May 13, 2014 by sreemathi.v
 

Related questions

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