How many strings of five uppercase English letters are there (a) that start with an X, if letters can be repeated? (b) if letters can be repeated? (c) that start with the letters BO (in that order), if letters can be repeated?

How many strings of five uppercase English letters are there (a) that start with an X, if letters can be repeated? (b) if letters can be repeated? (c) that start with the letters BO (in that order), if letters can be repeated?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: (a) How many three-digit nos. can be formed from the digits 0.1.2.3.4.5 & 6 if each digit can be…

Q: We are making 8-letter words from the set of letters a, b, c, d, e, f ..., in such a way that we…

A: Here we will use permutation /arrangement and combination / selection Number of way r object can be…

Q: For some particular website, the password must start with one of the letters A, B, or C. Then there…

Q: 7. A company is forming passcodes for its employees. Each code will consist of 4 letters, with no…

Q: How many seven-digit numbers can be formed with the first two digits odd and the last five digits…

A: The total number of digits from 0 to 9 is 10.

Q: Some of these are permutations and some aren’t exactly. You don’t need to find the answer, you just…

A: Permutations: By permutation, we mean to arrange the objects in order. In permutation, the order of…

Q: Your school locker has a dial with 50 numbers which required 3 numbers to open. (It is not a…

A: We have to find out given n...

Q: If U = {a, b, c, d, e, f}, A = {a, b}, and B = {b, c, d}, find the following. (Enter your answers as…

A: To find following sets

Q: Suppose we want to choose 4 letters, without replacement, from 18 distinct letters. (If necessary,…

A: Given,Total no.of letters=18

Q: 7) In how many ways the letters of the word "BANKER" can be arranged that vowels are always…

A: The letters of the word BANKER can be arranged.

Q: If 3 -letter words" are formed using the letters A, B, C, D, E, F, G, how many such %3D words are…

Q: Suppose we want to choose 6 letters, without replacement, from 15 distinct letters. (If necessary,…

A: given data, we want to choose 6 leteers, without replacement ,from 15 distinct letterswe have to…

Q: How many different license plates are possible if a state issues, (a) Two letters followed by a…

A: Here we have to find How many different license plates are possible if Two letters followed by a…

Q: If strings of 3 letters are formed using the letters R, S, T, U, V, W how many such words are…

A: The objective of this question is to calculate the number of possible 3-letter words that can be…

Q: ways cal on a bookshelf if 6 different novels, 6 different mathematics books, and 2 blology DOOK(S)…

Q: In how many ways can you arrange 6 distinct maths books and 5 distinct physics books on a shelf, if…

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5 and 7 if each digit can…

A: i) Since we need a four-digit number, the first digit can never be zero. Thus, the number of ways to…

Q: Each character in a password of length six can be any uppercase letter from A-Z or any symbol from…

Q: How many 7-digit telephone numbers are possible if the first digit cannot be four and (a) only odd…

A: Total digits : 0,1,2,3,4,5,6,7,8,9 7-digit telephone numbers= ? First digit can not be 4

Q: How many three-letter "words" (some may be nonsense words) can be made from 4 letters "FGHI" if…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: A license plate consists of five symbols on each plate, where the first two symbols are letters…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

Q: Each character in a password of length six can be any uppercase letter from A-Z or any symbol from…

A: Given information: Total number of letters that can be used for password = 26 Total number of…

Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters co can be generated?…

A: Given: There are 7 letters A, B, C, D, E, F, G

Q: How many six-lettered words starting with the letter T can be made from all the letters of the word…

Q: 13. Let S be the set of 7-digit numbers (neN: 106 ≤ n < 107). (a) Find (S). (b) How many members of…

A: As per the policy, we are solving three parts. Please repost it and specify which part is to be…

Q: How many ternary strings are there with exactly 4 zero's, 2 one's and 6 two's?

A: In this solution we will find the total number of string with exactly 4 zero's, 2 one's and 6 two's.…

Question

How many strings of five uppercase English letters are there
(a) that start with an X, if letters can be repeated?

(b) if letters can be repeated?

(d) that start and end with the letters BO (in that order), if letters can be repeated?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Finite State Machine$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

How many strings of five uppercase English letters are there(a) that start or end with the letters BO (in the order), if letters can be repeated? (inclusive or) (b) that start with the letters BO (in that order), if letters can be repeated? (c) if no letter can be repeated? (d) if letters can be repeated?
4. (a) How many ternary strings are there of length 10? (b) How many ternary strings of length 10 have three Os, four 1s, and three 2s? (c) How many ternary strings of length 10 have two Os, three 1s, and five 2s? (d) How many ternary strings of length 10 have no Os, four 1s, and six 2s? (e) How many ternary strings of length 10 have no Os? (f) How many ternary strings of length 10 have exactly three Os?
Suppose we want to choose 6 objects, without replacement, from 9 distinct objects. (If necessary, consult a list of formulas.) (a) How many ways can this be done, if the order of the choices matters? ☐ (b) How many ways can this be done, if the order of the choices does not matter? ☐
Suppose we want to choose 6 objects, without replacement, from 10 distinct objects. (If necessary, consult a list of formulas.) (a) How many ways can this be done, if the order of the choices does not matter? ☐ (b) How many ways can this be done, if the order of the choices matters?
4 -letter words'' are formed using the letters A, B, C, D, E, F, G. How many such words are possible for each of the following conditions?
Japanese license plates in each state consist of 8 characters. The first two characters can be any digit (0 to 9) and may be repeated. The third character can be one of 32 different hiragana letters, and the fourth is one of the 5 vehicle types. The last four characters, are digits (0 to 9), but may not be repeated. How many different license plates are possible?
How many different 6-character license plates are possible if the first 4 places are to be occupied by numbers and the final 2 by letters? Repetition is possible and numbers may have leading zeroes. (a) 26! 10! * 4 * 2 (b) 264*10² (c) (26) (¹2) (d) 26² * 104 (e) None of the above
We are making 5-letter words from the set of letters a, b, c, d, e, f ..., in such a way that we have exactly the first 5 letters available so that we use all letters. that do not contain the sub- a. How many 5-letter words can we make from the letters without repeats word "bad" in consecutive letters? a. How many words don't contain the subword “bad” in not-necessarily-consecutive letters (but in order)? -> →
How many license plates can be made using either two uppercase English letters followed by four digits or two digits followed by four uppercase English letters? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt A v I ... O WORDS POWERED BY T How many numbers must be selected from the set {1, 2, 3, 4, 5, 6} to guarantee that at least one pair of these numbers add up to 7? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt A ...
(9) How many different two-digit numbers can be made from the digits 3, 5 and 7 if: (a) the digits can be repeated? (b) the digits cannot be repeated? List all possibilities in each case.
how many different license plates can be created of the form XXX - YYYY if the first three aracters can be any digit 1 - 9 (no zero) and the last four characters can be any capital letter A-Z? (Numbers and letters can be repeated) XXX 7.