You can answer any 16 questions from the 21 questions on an exam. In how many different ways can you choose the 16 questions, assuming that the order in which you choose the questions is irrelevant? (If necessary, consult a list of formulas
You can answer any 16 questions from the 21 questions on an exam. In how many...
You can answer any 18 questions from the 21 questions on an exam. In how many different ways can you choose the 18 questions, assuming that the order in which you choose the questions is irrelevant?
How many different committees can be formed from 11 teachers and 44 students if the committee consists of 2 teachers and 3 ​students A group of campers is going to occupy 5 campsites at a campground. There are 17 campsites from which to choose. In how many ways can the campsites b There are_________possible ways to choose the campsites. Suppose there is a list of six jokes about marriage and divorce. In how many ways can people select their three...
4. A student must answer seven questions on an exam that contains twelve questions. a. How many ways can the student do this? b. How many ways are there if the student must answer the first and last question? PLEASE SHOW WORK
water pathogens bacteria A certain committee consists of 5 people. From the committee, a president, a vice-president, and a secretary are to be chosen. In how many ways can these. offices be filled? Assume that a committee member can hold at most one of these offices. (If necessary, consult a list of formulas) X SP A certain committee consists of 5 people. From the committee, a president, a vice-president, and a secretary are to be chosen. In how many ways...
An instructor gives an exam with twelve questions. Students are allowed to choose any nine to answer. (a) How many different choices of nine questions are there? (b) Suppose five questions require proof and seven do not. (i) How many groups of nine questions contain three that require proof and six that do not? (ii) How many groups of nine questions contain at least one that requires proof? (iii) How many groups of nine questions contain at most three that...
16) In how many ways can you select: a) three students from a class of 45 to represent the class? b) three different students from the 50 who apply to receive three different scholarships? a shirt and tie, if you have 20 shirts and 10 ties and they all look good together?
15. An instructor gives an exam with fourteen questions. Students are allowed to choose any ten to answer. a. How many different choices of ten questions are there? [4 points) b. Suppose the instructions specify that either both questions 1 & 2 are to be included among the ten or neither is to be included. How many different choices of ten questions are there? [4 points)
Suppose we want to choose 4 colors, without replacement, from 16 distinct colors. (a) How many ways can this be done, if the order of the choices does not matter? x 6 ? (b) How many ways can this be done, if the order of the choices matters?
Answer the questions below. (a) How many different committees of size 3 can be formed from 15 people? (b) There are 17 appetizers available at a restaurant. From these, John is to choose 13 for his party. How many groups of 13 appetizers are possible?
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Exam 2 EO Systems Name ask any questions about the exam. Make changes to the questions if you fel there is an error and state your reason for making the change. Raise your hand for another sheet of paper or to excuse yourself to the restroom. All exams will be scanned before and after grading. Look at the value of the questions. Work quickly and give brief explanations and answers (15%) p/n junction: If instead of a metallurgical...