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




2.  Find the value of 30C30. 
a.   30 
b.   90 
c.   1442 
d.   900 
e.   1




3.  Find the value of 70P2. 
a.   1 
b.   10 
c.   4830 
d.   4400 
e.   140




4.  In how many different ways can the letters of the word, 'CRICKET' be arranged? 
a.   5040 
b.   5020 
c.   1200 
d.   2520 
e.   500




5.  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




6.  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




7.  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




8.  In how many different ways can the letters of the word, 'PROBLEM' be arranged so that, the vowels always come together? 
a.   2180 
b.   3420 
c.   1500 
d.   1440 
e.   3200




9.  In how many ways, can a group of 2 boys and 3 girls be made out of a total of 7 boys and 9 girls? 
a.   1668 
b.   1852 
c.   1200 
d.   1764 
e.   1463




10.  Out of 8 consonants and 4 vowels, how many words of 5 consonants and 2 vowels can be formed? 
a.   236900 
b.   8956200 
c.   1693440 
d.   7865320 
e.   4525650




11.  Out of 4 consonants and 3 vowels, how many words of 2 consonants and 1 vowels can be formed? 
a.   24 
b.   10 
c.   110 
d.   108 
e.   112




12.  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




13.  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



