Question: In a simple language, there are only three letters: A, B and C. Any combination of A's, B's and C's forms a word, with

In a simple language, there are only three letters: A, B and C. Any combination of As, Bs and Cs forms a word, with the co

In a simple language, there are only three letters: A, B and C. Any combination of A's, B's and C's forms a word, with the condition that no word can contain "BC" (that is, there can never be a C immediately after a B). Let f(n) be the number of words of length n. (a) Determine the values of f(1), f(2) and f(3). (b) If n 2, explain why the number of words of length n that end with a B is equal to f(n-1). (c) Determine, with justification, a recursive formula for f(n). (d) Determine the value of f(10).

Step by Step Solution

★★★★★

3.43 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Lets solve the problem stepbystep a Determine the values of f1 f2 and f3 f1 For words of length 1 the possible letters are A B and C So f1 3 f2 For wo... View full answer

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 Programming Questions!

There are only three big tobacco companies, but they produce dozens of brands of cigarettes. Compare and contrast Bertrand competition with undifferentiated and differentiated products to explain why...

If a sum of $9257 is deposited now, $1374 two years from now, and $1375 per year in years 6 through 10, the amount in year 10 at an interest rate of 10% per year will be closest to: O a. $35350 O b....

There are only three active stations in a slotted Aloha network: A, B, and C. Each station generates a frame in a time slot with the corresponding probabilities p A = 0.2, p B = 0.3, and p C = 0.4...

In a simple language, there are only three letters: A, B and C. Any combination of A's, B's and C's forms a word, with the condition that no word can contain "BC" (that is, there can never be a C...

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

1. A bank is paying interest at a 5% annual rate on deposits. If you invest 10,000 and the bank compounds interest daily (i.e., 365 times per year), which of the following shows how much you will...

Can anyone solve the answers from the given document givenbelow? I really need help. MY FINAL LITERALLY IS KNOCKING AT THE DOOR. Name_________________________________ Student...

5 page2.jpg" />9 page6.jpg" />5 page1.jpg" />5 page2.jpg" />6 page2.jpg" />5 page1.jpg" />9 page6.jpg" />9 page5.jpg" />9 page5.jpg" />9 page4.jpg" />9 page3.jpg" />8 page3.jpg" />8 page2.jpg" />8...

What was Karen's condition at the time the court considered her father's position to become guardian and remove life support? What did the court say about free exercise of religion here? The court...

SOMEONE PLEASE HELP ME GIVE ALL THE ANSWERS!!!!! MY EXAM IS ON 13th MORNING! SO PLEASEEEEE!!!!! 2. An investment is expected to pay the following: C 1 = $2,300, C 2 = $2,600, C 3 = $2,900, and then...

When the United States signed a free trade agreement with Canada (1989), no one in the United States thought twice. When the agreement with Mexico was signed (1994), there was significant opposition....

Winter Ltd. was carrying more than one business activity, namely manufacturing plastic bags and trading in plastic item sales. However, the manufacturing activity was not profitable as Environment...

code class = "asciimath" > Assessment due date is 2 0 2 5 - 0 9 - 0 7 , 0 0 : 0 0 IST Last recorded submission : Assessment not submitted What is the primary goal of Business Intelligence ( BI ) ? To...

Evaluate the 110 billion yuan price tag for the purchase of China Unicoms CDMA network and operations by China Telecom. Do you think China Telecom is paying too much or too little? Defend your...

Evaluate the 165 billion yuan price tag for the acquisition of China Netcom by China Unicom. Do you think the price is too high or too low? Defend your answer. Industry Shakeup Creates 3 Telecom...

Refer to Cornerstone Exercise 7.3. Now assume that Valron Company uses the sequential method to allocate support department costs. The support departments are ranked in order of highest cost to...

Lance H. and Wanda B. Dean are married and live at 431 Yucca Drive, Santa Fe, NM 87501. Lance works for the convention bureau of the local Chamber of Commerce, while Wanda is employed part-time as a...

Sophie Corp. purchased a new blending machine for $3,150.15. It paid $500 down and financed the remaining $2,650.15. It is required to pay 10 annual payments at the end of each year at an annual rate...

Secretara de Economa. (2022). Anlisis del Comercio Exterior. ARROJAME EL FORMATO APA DE LO ANTERIOR

Here is an informal description of a simple language. Statements in the language are as follows: input a: output a: a: = b: a: = 58: a: = a + 1: a: a - 1: if a o goto L: goto L: halt: read an integer...

Original eed to work: Compiler Construction Programming answers should be written in some notation approximating SML or OCaml. (a) Describe what is meant by tail recursion. [4 marks] (b) Eliminate...

Please read the questions Question: What critical reading skills are essential for students to become successful readers and Explain why? Learning to Read: Should We Keep Things Simple? Language and...

In the context of solving the problem with a bottom-up dynamic programming algorithm. . . NOT NCESSARY INFORMATION (i) Give and clearly explain a formula that expresses the optimal solution in terms...

Each student is asked to implement an assembler for a simple assembly language. 1.1 Ob jectives Begin to build familiarity with Assembly opcodes Process input from Standard Input (STDIN) Send output...

Solved: In the context of solving the problem with a bottom-up dynamic programming algorithm. . . NOT NCESSARY INFORMATION (i) Draw and explain the data structure your algorithm would use to...