Classical

Combinatories - Combinatories MCQ

11:  

 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

 
 

Option: B

Explanation :


12:  

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 5C3 ways.
2 vowels out of 4 can be selected in 4C2 ways.
Therefore, total number of groups each containing 3 consonants and 2 vowels =  5C * 4C2 = 5*6=30
Each group contains 5 letters, which can be arranging in 5! ways.

Therefore required number of words = 30* 5! = 3600

 

 


13:  

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 :


14:  

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 :


15:  

If a five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition, then total number of ways this can be done is

A.

216

B.

240

C.

600

D.

3125

 
 

Option: A

Explanation :




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