In how many ways can 5 red and 4 white balls be drawn from a hag containing 10 red and 8 white balls ?
| A. | 8C5 x 10C4 |
| B. | 10C5 x 8C4 |
| C. | 18C9 |
| D. | None of these |
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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 |
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Option: A Explanation :
3 consonants out of 5 can be selected in 5C3 ways.
Click on Discuss to view users comments. Anil Parajuli said: (7:45pm on Tuesday 4th August 2015)
5C3*4C2=10*6=6060*5!=7200
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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 |
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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 |
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Option: A Explanation : Required number of ways are 45=1024. Since each prize can be distributed in 4 ways Click on Discuss to view users comments. Jeevan Gyawali said: (2:24am 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
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