Question 1 :
The number of arrangements of these letters of the word 'CALCUTTA'

Question 2 :
The number of ways in which seven person can be arranged at a round table if two particular person may not sit together is

Question 3 :
The number of rectangles that you can find on a chess board is :

Question 4 :
A man has 9 friends, 4 boys and 5 girls. In how many ways can be invite them, if there have to be exactly three girls in the invites?

Question 5 :
Out of 100 students 50 fail in English and 30 in Maths. If 12 students fail in both English and Maths, then the number of students passing both the subjects is

Question 6 :
Five persons A, B, C, D and E occupy seats in a row such that A and B sit next to each other. In how many possible ways can these five people sit?

Question 7 :
In how many ways can $5$ keys be put in a ring

Question 8 :
<div>There are <span class="MathJax_Preview"></span><span class="MathJax"><span class="math"><span><span class="mrow"><span class="mn">4</span></span></span></span><span class="MJX_Assistive_MathML">4</span></span> candidates for a Natural science scholarship, <span class="MathJax_Preview"></span><span class="MathJax"><span class="math"><span><span class="mrow"><span class="mn">2</span></span></span></span><span class="MJX_Assistive_MathML">2</span></span> for a Classical and <span class="MathJax_Preview"></span><span class="MathJax"><span class="math"><span><span class="mrow"><span class="mn">6</span></span></span></span><span class="MJX_Assistive_MathML">6</span></span> for a Mathematical scholarship,then find the no. of ways one of these scholarship can be awarded is,</div>

Question 9 :
In how many ways can $20$ different colored beads can be strung on a necklace?

Question 10 :
The number of unsuccessful attempts that can be made by a thief to open a number lock having $3$ rings in which each rings contains $6$ numbers is