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

A class has 30 students .We have to form a team of the students including atleast two students and also excluding atleast two students.The number of ways of forming the team is

$\begin{array}{1 1}(A)\;2^n-2n\\(B)\;2^n-2n-2\\(C)\;2^n-2n-4\\(D)\;\text{None of these}\end{array} $

Can you answer this question?
 
 

1 Answer

0 votes
Toolbox:
  • $C(n,r)=\large\frac{n!}{r!(n-r)!}$
Required number of ways=$nC_2+nC_3+.......+nC_{n-3}+nC_{n-2}$
$\Rightarrow 2^n-(nC_0+nC_1+nC_{n-1}+nC_{n-1}+nC_n)$
$\Rightarrow 2^n-2(n+1)$
$\Rightarrow 2^n-2(n+1)$
$\Rightarrow 2^n-2n-2$
Hence (B) is the correct answer.
answered Jun 20, 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
...