1.  Evaluate the following: 82!/80! 
a.   6642 
b.   6200 
c.   1411 
d.   1032 
e.   1225




2.  Find the value of of 25C4. 
a.   10000 
b.   12650 
c.   12000 
d.   14000 
e.   400




3.  In how many different ways can the letters of the word, 'EXPLAIN' be arranged so that, the vowels may occupy only the odd position? 
a.   120 
b.   250 
c.   200 
d.   500 
e.   576




4.  In how many different ways can the letters of the word, 'COMPUTER' be arranged so that, the vowels always come together? 
a.   2020 
b.   4320 
c.   1200 
d.   1060 
e.   6210




5.  In how many different ways can the letters of the word, 'FOLDER' be arranged so that, the vowels always come together? 
a.   240 
b.   100 
c.   120 
d.   160 
e.   162




6.  What would be the count of all the possible eight letter words? 
a.   8+8 
b.   8*8 
c.   26^8 
d.   8 
e.   28




7.  I have 4 two dollar coins, 4 one dollar coins and 2 fifty cent coins. How many different sums can I pay with these coins? 
a.   25 
b.   20 
c.   6 
d.   5 
e.   10




8.  You have 6 two dollar coins, 6 one dollar coins and 3 fifty cent coins. How many different sums can you pay with these coins? 
a.   15 
b.   50 
c.   60 
d.   38 
e.   100




9.  In how many ways, can a group of 2 boys and 2 girls be made out of a total of 4 boys and 4 girls? 
a.   18 
b.   36 
c.   12 
d.   60 
e.   10




10.  A pencil box contains 2 red, 3 white and 3 black balls. In how many ways can 2 balls be drawn from the box, if at least one white ball is to be included in the draw? 
a.   18 
b.   15 
c.   16 
d.   34 
e.   20




11.  A pencil box contains 3 red, 2 white and 3 black balls. In how many ways can 2 balls be drawn from the box, if at least one white ball is to be included in the draw? 
a.   15 
b.   12 
c.   13 
d.   10 
e.   20




12.  A pencil box contains 3 red, 4 white and 3 black balls. In how many ways can 3 balls be drawn from the box, if at least one red ball is to be included in the draw? 
a.   80 
b.   50 
c.   55 
d.   85 
e.   65



