GATEverse Practice, past papers & mock tests
GATE 2027: 115 days Sign in Create account
GATE 2014 · session-1
Engineering MathematicsCombinatoricsmediumNAT2 marks
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 __________.
Save your progress

Related Engineering Mathematics PYQs

GATE 2014 · SET - 1

A fair six-sided die is rolled twice. What is the probability that the sum of the two outcomes is equal to 7?

GATE 2014 · SET - 2

The eigenvalues of a 2 x 2 matrix A are 3 and -2. What is the trace of matrix A^2?

GATE 2014 · SET - 1

A relation R on a non-empty set A is an equivalence relation if and only if R is:

GATE 2014 · SET - 1

The maximum value of the function f(x) = 2x^3 - 9x^2 + 12x + 5 in the closed interval [0, 3] is

GATE 2014 · session-1

Consider the statement “Not all that glitters is gold” Predicate glitters(x) is true if x glitters and predicate gold(x) is true i…

GATE 2014 · session-1

Suppose you break a stick of unit length at a point chosen uniformly at random. Then the expected length of the shorter stick is _…