Question: Need help with Combinatorics Problem!!!! Let T be the set of all binary strings where any block of 1's of length at least 3 cannot

Need help with Combinatorics Problem!!!!

Let T be the set of all binary strings where any block of 1's of length at least 3 cannot be followed by a block of 0's of length at least 3, and any black of 1's of length at most 2 must be followed by a block of 0's whose length is congruent to 2 modulo 3. (3) Determine an unambiguous expression for T. Explain your answer. (b) Prove that the number of strings in T of length n is 1+x4+x5 lx2x3+x7+x3- [16"]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Need help with Combinatorics Problem!!!! Let S be the set of all binary strings where every block of 1's have even length. (a) Determine an unambiguous expression for S. Explain your answer. (b)...

Problem 2. Let k > 2 be an integer, and let S be the set of all binary strings in which every block of zeroes has length less than k, and every block of ones has length at least k. Find an...

Let k 2 be an integer, and let S be the set of all binary strings in which every block of zeroes has length less than k, and every block of ones has length at least k. Find an unambiguous expression...

Question 3 . Let S be the set of all binary strings such that for every ( non - empty ) block of 0 s , the block of 1 s that follows it is longer than that block of 0 s or empty. For instance, the...

Problem 1. Let S denote the collection of all binary strings that have length at least one, begin with 0 (when reading left to right), and are such that each occurrence of 0 in the string is followed...

Prove whether the following languages are regular or non - regular. You may need to use the Pumping Lemma, and you can also assume that the following languages are not regular: LPRIME = { ap : p in...

re Regular Languages and Finite Automata (a) Let L be the set of all strings over the alphabet {a, b} that end in a and do not contain the substring bb. Describe a deterministic finite automaton...

Let r and s be solutions to the quadratic equation x 2 b x + c = 0. For n N, define d0 = 0 d1 = r s dn = b dn1 c dn2 (n 2) Prove that dn = r n s n for all n N. [4 marks] (b) Recall that a commutative...

In this question you will be asked to reflect on a project you have been involved in or observed, in which a design evolved, or could have evolved, through applying a theory of user behaviour. You...

This question involves the use of AGGREGATE linear PYTHOIN regression on the Auto data set. (a) Perform a simple linear regression with mpg as the response and horsepower as the predictor. Describe...

Accounting Karen is self-employed and had the following income and expenses in 2020: Income 35 000 Cost of good sold 20 550 Business miles driven on personal car = 10,000 Parking fines 300 Meals 6...

The faces x = 0 and x c of a slab 0 0. (a) After writing the boundary value problem for the temperatures, make the substitution s = Tx/c to show that u, = (km?/c?)u , u = 0 when s = 0 and s = T, and...

4. How does accounting help in the capital allocation process?

-a. Complete a full absorption costing income statement for Presidio. Assume there was no beginning inventory. -b. Complete a contribution margin income statement for Presidio. Assume there was no...