If n(A)=4, n(B)=8, and n(C)=9, what is the greatest and least number of elements in each of the following? (a) AUBUC (b) AnBnc (a) The greatest number of elements is AUBUC is The least number of elements in AUBUC is (b) The greatest number of elements in AnBn C is The least number of elements is An Bn Cis ****

If n(A)=4, n(B)=8, and n(C)=9, what is the greatest and least number of elements in each of the following? (a) AUBUC (b) AnBnc (a) The greatest number of elements is AUBUC is The least number of elements in AUBUC is (b) The greatest number of elements in AnBn C is The least number of elements is An Bn Cis ****

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

An instructor gives an exam with twenty questions. Students are allowed to choose any fifteen questions to answer. (a) How many different choices of fifteen questions are there? (b) Suppose nine questions require coding and eleven do not. (i) How many groups of fifteen questions contain seven that require coding and eight that do not? (ii) How many groups of fifteen questions contain at most eight that require coding? (c) Suppose the exam instruction specifies that at most one of questions 1 and 2 MAY BE included among the fifteen. How many different choices of fifteen questions are there? (d) Suppose the exam instruction specifies that either both questions 1 and 2 are to be included among the ten or neither is to be included. How many different choices of ten questions are there?
How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 8 and 9, which are divisible by 5 (so the last digit must be 5) and none of the digits is repeated?
3. There are seven students who always compare their CS test grades. They discovered that either the sum of two grades or the difference of two grades was always divisible by 10. Use the Pigeonhole Principle to show that for any seven positive integers, either the sum of two or the difference of two is divisible by 10.
How many ways can one select a subset of 10 elements from {1, 2, 3, . . . , 1000} so that the biggest and smallest elements selected differ by at most 100? Justify your answer.
A computer password is required to be 7 characters long. How many passwords are possible if the password requires 1 letter(s) followed by 6 digits (numbers 0-9), where no repetition of any letter or digit is allowed? There are passwords. possible
9. A bank password consists of SIX (6) letters of the Roman characters (small and capital letters) followed by TWO (2) digits and ONE (1) special character of "@", "#", "$","%", "&". How many different passwords are there?
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.
Use this for 11-12: A student club consists of 10 girls and 10 guys. A committee of 8 is to be selected. In how many ways can this be done if (page 168- 172) Show your work ! 11.) the committee must have at least 7 girls on it12.) three officers (president, vice president, secretary/treasurer) are selected from ALL the members.