1

GATE CSE 2020

Numerical

+2

-0.67

The number of permutations of the characters in LILAC so that no character appears in its original position, if the two L’s are indistinguishable, is _______.

Your input ____

2

GATE CSE 2016 Set 1

Numerical

+2

-0

The coefficient of $${x^{12}}$$ in $${\left( {{x^3} + {x^4} + {x^5} + {x^6} + ...} \right)^3}\,\,\,\,\,\,$$ is _____________.

Your input ____

3

GATE CSE 2014 Set 1

Numerical

+2

-0

There are 5 bags labeled 1 to 5. All the coins in given bag have the same weight. Some bags have coins of weight 10 gm, other have coins of weight 11 gm. $${\rm I}$$ pick 1, 2, 4, 8, 16 coins respectively from bags 1 to 5. Their total weight comes out to 323 gm. Then the product of the labels of the bags having 11 gm coin is _______ .

Your input ____

4

GATE CSE 2014 Set 1

Numerical

+2

-0

A pennant is a sequence of numbers, each number being 1 or 2. An n-pennant is a sequence of numbers with sum equal to n. For example, (1,1,2) is a 4-pennant. The set of all possible 1-pennants is {(1)}, the set of all possible 2-pennants is {(2), (1,1)} and the set of all 3-pennants is {(2,1),(1,1,1), (1,2)}. Note that the pennant (1,2) is not the same as the pennant (2,1). The number of 10-pennants is _________.

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Questions Asked from Combinatorics (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2023 (1)
GATE CSE 2021 Set 1 (1)
GATE CSE 2020 (1)
GATE CSE 2016 Set 1 (1)
GATE CSE 2014 Set 1 (2)
GATE CSE 2014 Set 2 (1)
GATE CSE 2008 (5)
GATE CSE 2007 (2)
GATE CSE 2006 (3)
GATE CSE 2005 (3)
GATE CSE 2004 (3)
GATE CSE 2001 (1)
GATE CSE 1999 (1)
GATE CSE 1998 (2)
GATE CSE 1996 (1)
GATE CSE 1994 (1)
GATE CSE 1989 (1)
GATE CSE 1988 (1)
GATE CSE 1987 (1)

GATE CSE Subjects

Theory of Computation

Operating Systems

Algorithms

Database Management System

Data Structures

Computer Networks

Software Engineering

Compiler Design

Web Technologies

General Aptitude

Discrete Mathematics

Programming Languages