How many 10-letter “words” using the 26-letter alphabet either begin or end with a vowel? Draw and use a Venn diagram to support your solution. Be sure to clearly identify your sets. (Letters may be repeated in this problem)
How many 10-letter “words” using the 26-letter alphabet either begin or end with a vowel? Draw...
How many five letter words do not both begin and end with a vowel? (uppercase letters only)
3. What is the probability a 9-digit Social Security number has repeated digits? Draw and use a Venn diagram to support your solution. Be sure to clearly identify your sets. 4. How many ways are there to deal a 6-card hand that contains at least one Queen, at least one King, and at least one Ace? Draw and use a Venn diagram to support your solution. Be sure to clearly identify your sets. 3. What is the probability a 9-digit...
Problem How many four-letter code words are possible using the letters in IOWA if (a) The letters may not be repeated? (b) The letters may be repeated?
Using twotwo of the letters of the alphabet, how many fourfour-letter codes can we form if we are allowed to use the same letter more than once?
2. How many positive integers less than 1000 are multiples of 5 or 7? Explain your answer using the inclusion-exclusion principle 3. For the purpose of this problem, a word is an ordered string of 5 lowercase letters from the English alphabet (i.e., the 26 letters from a to z). For example, "alpha" and "zfaxr" are words. A subword of a word is an ordered string that appears as consecutive letters anywhere within the given word. For example, "cat" is...
How many distinct 5 letter words can be made by arranging the letters ENGLISH if the word must start with L and end with either S or G?
i. How many 5-letter passwords (letters may be repeated) can be created from the monkey type- writer from Q1 if it is forbidden for a password to begin and end with the same letter? Answer: 11. Using the monkey typewriter from Q1, how many 8-letter words are there consisting of 8 distinct letters that contain the word 'APE' (as 3 consecutive) letters within the 8-letter word? Answer: iii. Suppose that a group of 9 inhabitants of the Island of Knights...
please write clearly. thanks Part I. For questions 1-10, use only the sum, product and division rules or a tree diagram to solve the problems. 1. Six different airlines fly from New York to Denver and seven fly from Denver to San Francisco. How many different pairs of airlines can you choose on which to book a grip from New York to San Francisco via Denver? 2. How many bit strings of length ten both begin and end with a...
Sets and Counting: Problem Set 2 Directions 1. Solve the following problems. Hand write your solutions and explanations on your own paper. Do not write answers on this page. 2. Show your work AND explain your reasoning using complcte English sentences. Explanations must directly follow the solution for each part of the problem. You must write your name on the top right of the paper you turn in. 4. You must write the title of this problem set on the...
Q1. COUNTING Suppose we have a specially-adapted typewriter for monkeys to use that has only 15 keys: 囚回回回固因国MA]回回回国叼团 Important! All of your solutions must be clearly justified with explanations, and you must write each of your final answers in two ways: 1. as a formula involving only products, sums, differences, or powers 2. as one final concrete number (where you might need to make use of a calculator") *Warning No calculators on the Beal exam. You will be expected to...