Solve the following problem two ways: (a) using a tree diagram and (b) using the multiplication...
1) A: List all possible outcomes (the sample space) for the tree diagram below B: Calculate the number of all possible outcomes: bb 2) Based on the tree diagram below, how many ways can a coin be tossed four times and get exactly 3 tails? Hнн HHT HHHH HHHT HHTH H HTT HTHH HTHT HTTH HTTT THH T THT TTHS THHH THHT THTH THTT TTHH ΤΤΗΤ ΤΤΤΗ ΤΤΤΤ ΤΤΤ 3) How many 12-letter "words" (real or made-up) can be made...
I have 4 questions dont know can anyone help me with any of it? ii) Consider the 11 letter word MATHEMATICS a) How many distinct words can be formed by rearranging its letters? b) How many 4 letter words can be formed using the letters in the word MATHEMATICS, using letters no more often than they appear in the word? ii) Consider the equation where xi, x2, 13, T4,5 and re are non-negative integers a) How many solutions are there...
Use the multiplication principle to solve the problem. License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits is allowed? 100,000 175,760 11,881,376 1.757,600
How many different passwords of size 6 can be formed using English alphabet characters if the first letter must be a capital letter and the remaining letters must be lower case? a) 26 * C(25, 5) b) P(26, 5) c) 26 * P(26, 5) d) 26 * C(26, 5) e) P(26, 6)
FORUM DESCRIPTION Set Projects: Choose one of the following 1. Use a Venn diagram with circles A B, and C to finish the following equation: n(A U BUQ-n(A)+ n(B) + n(C) Explain your reasoning and your statements 2. Present an argument for the Multiplication Principle (for Counting) using tree diagrams. Use an example (meaning show an example in both tree diagram form and using Multiplication Principle) and provide rationale (write supporting statements). 3. A school needs to provide 856 students...
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...
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...
*For a certain strain of the flu virus, a flu shot is 85% effective in preventing the flu. If 4 random people who have taken their flu shot are selected, find the probability that at least one will get the flu *67% of high schoolers at Industry High School attend at least high school sporting event during their time in high school. If three random students are selected after completing their schooling at Industry High School, what is the probability...
using basic c++ and use no functions from c string library b) Write a fragment of code (with declarations) that reads a pair of words from the keyboard and determines how many letters in corresponding positions of each word are the same. The words consist only of the letters of the English alphabet (uppercase and lowercase). For example, if the words are coat and CATTLE, the following output should be generated: 012245 0122 matching letter in position 0 t is...
3. (5 pts) There are currently 100 freshman mathematics majors at Truman State University. It is known that 80 are enrolled in the Calculus sequence, 30 are enrolled in Foundations of Mathematics, and 40 are enrolled in Physics. There are 35 who are enrolled in both Calculus and Physics, 20 who are enrolled in both Calculus and Foundations, and 5 who are enrolled in both Foundations and Physics. Only 2 badly-advised students are enrolled in all three of Calculus, Foundations...