1.  Evaluate the following: 45!/42! 
a.   1200 
b.   1500 
c.   85140 
d.   300 
e.   200




2.  Evaluate the following: 80!/78! 
a.   6320 
b.   2000 
c.   5140 
d.   3200 
e.   2500




3.  In how many different ways can the letters of the word, 'MACHINE' be arranged? 
a.   8000 
b.   5040 
c.   5760 
d.   1000 
e.   1600




4.  In how many different ways can the letters of the word, 'VISUAL' be arranged so that, the vowels may occupy only the odd position? 
a.   36 
b.   26 
c.   86 
d.   24 
e.   61




5.  In how many different ways can the letters of the word, 'ENGLAND' be arranged so that, the vowels always come together? 
a.   220 
b.   6100 
c.   5250 
d.   720 
e.   4160




6.  In how many different ways can the letters of the word, 'PARIS' be arranged so that the vowels always come together? 
a.   48 
b.   10 
c.   25 
d.   20 
e.   16




7.  In how many different ways can the letters of the word, 'NUMBER' be arranged so that, the vowels always come together? 
a.   180 
b.   420 
c.   500 
d.   240 
e.   200




8.  In how many different ways can the letters of the word, 'QUESTION' be arranged so that, the vowels always come together? 
a.   2880 
b.   8420 
c.   6500 
d.   1240 
e.   1200




9.  In how many ways, can a group of 2 boys and 3 girls be made out of a total of 6 boys and 4 girls? 
a.   6000 
b.   600 
c.   60 
d.   6 
e.   1




10.  In how many ways, can a group of 6 boys and 3 girls be made out of a total of 8 boys and 5 girls? 
a.   200 
b.   400 
c.   460 
d.   280 
e.   110




11.  Out of 6 consonants and 4 vowels, how many words of 4 consonants and 2 vowels can be formed? 
a.   25896 
b.   65242 
c.   10200 
d.   45200 
e.   64800




12.  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




13.  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




14.  Find the # of even 5 digit numbers that can be formed using the digits 1,1,2,2,3? 
a.   10 
b.   20 
c.   12 
d.   16





15.  How many distinct ways are there to order a group of 1 green, 4 red, 2 yellow, and 2 pink balls? 
a.   24 
b.   45360 
c.   840 
d.   3780




