find a
recurrence relation for the number of bit strings of length n that
contain the string 10. What are the initial conditions? How many
bit strings of length eight contain the string 10
find a
recurrence relation for the number of bit strings of length n that
contain two consecutive 1s. What are the initial conditions? How
many bit strings of length eight contain two consecutive
1s
a) Find the recurrence relation for the number of ways to
arrange flags on an n foot flagpole with 1 foot high red flags, 2
feet high white flags and 1 foot high blue flags.
b) solve the recurrence relation of part a
Find and solve a recurrence relation for the number of ways to stack n poker
chips using red, white and blue chips such that no two red chips are together.
Use your solution to compute the number of ways to stack 15 poker chips.
Use
inclusion-exclusion to find the number of binary strings of length
5 that have at least one of the following characteristics: start
with a 1, end with a 0, or contain exactly two
Give a recurrence relation to find the length of the longest
monotonically increasing subsequent of a array. Give the recursive
algorithm based on the recurrence relation and explain the time
complexity of this algorithm.
consider the linear non-homogeneous recurrence relation of order
three x(n)+x(n-1)-4x(n-2)-4x(n-3)=16
find the eigenvalues of the recurrence relation, the closed form
solution, and based on the dominant Eigen value determine if x(n)
has longterm exponential growth