In how many ways can 5 red and 4 white balls be drawn from a hag containing 10 red and 8 white balls ?
A.  ^{8}C_{5} x ^{10}C_{4} 
B.  ^{10}C_{5} x ^{8}C_{4} 
C.  ^{18}C_{9} 
D.  None of these 
Option: B Explanation : Click on Discuss to view users comments. 
Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to
A.  3600 
B.  120 
C.  7200 
D.  None of these 
Option: A Explanation :
3 consonants out of 5 can be selected in ^{5}C_{3} ways.
Click on Discuss to view users comments. Anil Parajuli said: (5:45am on Wednesday 5th August 2015)
5C3*4C2=10*6=6060*5!=7200

How many different committees of 5 can be formed from 6 men and 4 women on which exact 3 men and 2 women serve ?
A.  6 
B.  20 
C.  60 
D.  120 
Option: D Explanation : Click on Discuss to view users comments. 
In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more prizes ?
A.  1024 
B.  625 
C.  120 
D.  600 
Option: A Explanation : Required number of ways are 4^{5}=1024. Since each prize can be distributed in 4 ways Click on Discuss to view users comments. Jeevan Gyawali said: (12:24pm on Wednesday 16th August 2017)
I don't think the answer is correct in this context. For A to make sense, there needs to be an unlimited supply of the 5 TYPES of prizes. If there are only 5 prizes, the only possible options are :2,1,1,1 > 4C1 =42,2,1,0 > 4C2 * 2C1 = 243,1,1,0 > 4C1 * 3C2 = 123,2,0,0 > 4C1 * 3C1 = 124,1,0,0 > 4C1 = 45,0,0,0 > 4C1 = 4 So, total = 4 24 12 12 12 4 = 68
