1
GATE CSE 2015 Set 3
Numerical
+1
-0
The number of $$4$$ digit numbers having their digits in non-decreasing order (from left to right) constructed by using the digits belonging to the set $${1, 2, 3}$$ is____________.
2
GATE CSE 2012
+1
-0.3
The recurrence relation capturing the optional execution time of the Towers of Hanoi problem with $$n$$ discs is
A
$$T\left( n \right) = 2T\left( {n - 2} \right) + 2$$
B
$$T\left( n \right) = 2T\left( {n - 1} \right) + n$$
C
$$T\left( n \right) = 2T\left( {n/2} \right) + 1$$
D
$$T\left( n \right) = 2T\left( {n - 1} \right) + 1$$
3
GATE CSE 2004
+1
-0.3
In a class of 200 students, 125 students have taken Programming Language course, 85 students have taken Data Structures course, 65 student have taken Computer Organization coures; 50 students have taken both Programming Language and Data Structures, 35 students have taken both Programming Languages and Computer Organization; 30 students have taken both Data Structures and Computer Organization; 15 students have taken all the three course.

How many students have not taken any of the three courses?

A
15
B
20
C
25
D
35
4
GATE CSE 2003
+1
-0.3
Let $$A$$ be a sequence of $$8$$ distinct integers sorted in ascending order. How many distinct pairs of sequence, $$B$$ and $$C$$ are there such that
i) Each is sorted in ascending order.
ii) $$B$$ has $$5$$ and $$C$$ has $$3$$ elements, and
iii) The result of merging $$B$$ $$C$$ gives $$A$$?
A
$$2$$
B
$$30$$
C
$$56$$
D
$$256$$
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