Discrete Mathematics [NTANET (Based on NTAUGC) Computer Science (PaperII)]: Questions 1  4 of 105
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Question number: 1
» Discrete Mathematics » Algebra
Appeared in Year: 2015
Question
Match the following terms: (December)
ListⅠ  ListⅡ 
(A) Direct proof  (i) A proof that the implication p→q is true 0 that proceeds by showing that p must be false when q is false. 
(B) Trivial proof  (ii) A proof that the implication p→q is true based on the fact that q is true 
(C) Vacuous proof  (iii) A proof that the implication p→q is true based on the fact that p is false 
(D) Indirect proof  (iv) A proof that the implication p→q is true that proceeds by showing that q must be true when p is true 
Choices
Choice (4)  Response  

 
a. 
 
b. 
 
c. 
 
d. 

Question number: 2
» Discrete Mathematics » Permutation and Combination
Appeared in Year: 2015
Question
How many committees of five people can be chosen from 20 men and 12 women such that each committee contains at least three women? (December)
Choices
Choice (4)  Response  

a.  41800  
b.  52492  
c.  9900  
d.  75240 
Question number: 3
» Discrete Mathematics » Permutation and Combination
Appeared in Year: 2015
Question
How many solutions are there for the equation x + y+z + u=29 subject to the constraints that x≥1, y≥2, z≥3 and u≥0? (December)
Choices
Choice (4)  Response  

a.  4960  
b.  23751  
c.  8855  
d.  2600 
Question number: 4
» Discrete Mathematics » Number System
Appeared in Year: 2015
Question
Which of the following is/are not true?
(1) The set of negative integers is countable.
(2) The set of integers that are multiples of 7 is countable.
(3) The set of even integers is countable.
(4) The set of real numbers between 0 and ^{1}/_{2} is countable. (December)
Choices
Choice (4)  Response  

a.  (1) and (3)  
b.  (2) and (4)  
c.  (4) only  
d.  (2) only 