1

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 ____

2

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 _________.

Your input ____

3

GATE CSE 2014 Set 2

Numerical

+2

-0

The number of distinct positive integral factors of 2014 is _______ .

Your input ____

4

GATE CSE 2008

MCQ (Single Correct Answer)

+2

-0.6

Let $${x_n}$$ denote the number of binary strings of length $$n$$ that contain no consecutive $$0s$$.

The value of $${x_5}$$ is

Questions Asked from Combinatorics (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

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Discrete Mathematics

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