Tutorial 4

Good Essays
MAT 2204
Tutorial 4

1. In how many ways can a committee of one president, one vice president, a secretary and a treasurer be chosen from five men and seven women?

2. A committee of four is chosen from five teachers and three mathematicians. In how many ways can this be done so that the committee contains
(i) at least one teacher?
(ii) at least one teacher and one mathematician?

3. Five children are to be seated on a bench. Find ( i ) how many ways the children can be seated , ( ii ) how many arrangements are possible if the youngest child is to sit at the left-hand end of the bench.

4. A playoff between two teams consists of at most five games . The first team that wins three games wins the playoff . In how many different ways can the playoff occur ?

5. An athlete owns six pairs of running shoes. How many different ways are of selecting
(i) 4 shoes?
(ii) 2 left shoes and 2 right shoes?
(iii) 2 pairs of shoes? 6. Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee with 6 members if it must have the same number of men and women?

7. A concert pianist agrees to take part in a charity concert. She offers a choice of 10 works, of which 5 were composed by Chopin, 3 by Liszt and 2 by Schuamann. The concert committee is to select 4 of these works. Calculate the number of ways these 4 works can be selected if
(i) there is no restriction,
(ii) there are 2 works by Chopin, 1 by Liszt and 1 by Schumann,
(iii) there must be at least one work by each composer,
(iv) the selection contains works by exactly two of the three composers.

8. How many strings of six English letters are there ( a ) that contain no vowels , if letters can be repeated ? ( b ) that contain no vowels , if letters cannot be repeated ? ( c ) that start with a vowel , if letters can be repeated ? ( d ) that contain at

You May Also Find These Documents Helpful

  • Satisfactory Essays

    Tutorial 4

    • 447 Words
    • 3 Pages

    Tutorial 4: Estimations 1. A process producing bricks is known to yield output whose weights are normally distributed with a standard deviation of 0.12lb. A random sample of 40 bricks from a day's output had a mean weight of 4.07lb. (i) Find a 99% confidence interval for the mean weight of all bricks produced on that day. (ii) Estimate the smallest sample size required if the error in estimating the population mean weight of all bricks is to be within  0.03lb with 95% confidence.…

    • 447 Words
    • 3 Pages
    Satisfactory Essays
  • Satisfactory Essays

    TUTORIAL 4

    • 583 Words
    • 14 Pages

    MANAGEMENT AND PUBLIC ADMINISTRATION GIMPA SCHOOL OF TECHNOLOGY PGDMIS-OPERATIONS MANAGEMENT TUTORIAL FOUR 1. Consider the following transportation problem at Frank Timoney Enterprises in Clifton Park, NY. Find the optimal solution using the stepping-stone method. To From 2. Destination A Destination B Destination C Supply Source 1 8 9 4 72 Source 2 5 6 8 38 Source 3 7 9 6 46 Source 4 5 3 7 19 Demand 110 34 31 175 Solve the following using the NorthWest Corner Rule…

    • 583 Words
    • 14 Pages
    Satisfactory Essays
  • Satisfactory Essays

    VIOoPC Tutorial 4

    • 311 Words
    • 3 Pages

    Ms. Amelia Chiang, Ms. Azlina Banu, Ms. Farhanah, Ms.Gurpreet, Ms. Jamie, Ms. Lau Mei Chien, Ms. Lily Lee, Ms. Nabilah, Mr. Ng Sweet Kin, Ms. Phang Ying Ning, Ms. Precilla, Ms. Rachel Tham, Ms. Rajalakshmi, Mr. Sivabalan, Ms. Tan Lee Siew Tutorial 4: Chapter 4 States of Matter 1. Hydrogen gas occupies a 3.60 L container at 760 torr. Calculate the volume it occupies at 2.25 atm at a constant temperature. (1.6 L) 2. Nitrogen gas contained in a 1.85 L vessel exerts a pressure of 1.00 atm at 0 oC…

    • 311 Words
    • 3 Pages
    Satisfactory Essays
  • Powerful Essays

    Tutorial Solutions 4

    • 1093 Words
    • 7 Pages

    Tutorial solutions 4 QUESTIONS 5. What is meant by a currency trading at a discount or at a premium in the forward market? Answer: The forward market involves contracting today for the future purchase or sale of foreign exchange. The forward price may be the same as the spot price, but usually it is higher (at a premium) or lower (at a discount) than the spot price. PROBLEMS 4. Restate the following one-, three-, and six-month outright forward European term bid-ask quotes in forward points. Spot…

    • 1093 Words
    • 7 Pages
    Powerful Essays
  • Good Essays

    Week 4 - Tutorial

    • 641 Words
    • 3 Pages

    Criminal Justice Ethics Week’s 4 Tutorial Doany Will ETHC-232 Professor: Denise Young Criminal Justice Ethics In the general orders or in the personnel manual of virtually every police organization there is language about “ethics” and “integrity.” But what exactly does that mean? Ethics is an easy word to throw around and yet very hard to define. “Police officers are held…

    • 641 Words
    • 3 Pages
    Good Essays
  • Satisfactory Essays

    tutorial 4 answers

    • 552 Words
    • 3 Pages

    TUTORIAL 4 – DISCRETE DISTRIBUTIONS Question 1 An experiment consists of picking a card at random from a standard deck of cards and replacing it. If this experiment is performed 12 times, what is the probability that you get: (a) exactly 2 aces; (b) exactly 3 hearts; (c) more than 1 heart. Solution Let n = 12, the no of experiments. (a) Let p = probability of obtaining an ace in an experiment of picking a card at random from a standard deck of cards; and = 4/52 = 1/13…

    • 552 Words
    • 3 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Tutorial 4 S

    • 352 Words
    • 2 Pages

    Q  40  2P  0.2Y  Pb where Y refers to income and Pb refers to the price of barley. Assuming that wheat and barley both sell for RM2, and income is RM10, calculate the price elasticity, cross price elasticity and income elasticity for wheat. 4. State whether each of the following is TRUE or FALSE, giving an appropriate explanation for your answer in each case: (a) The cross elasticity of demand for all normal good is positive. (b) When demand is price inelastic, lower prices mean both…

    • 352 Words
    • 2 Pages
    Satisfactory Essays
  • Satisfactory Essays

    ACL 9 Tutorial 4

    • 568 Words
    • 3 Pages

    9 Tutorial 4 COMMANDS: ANALYZE -> AGE DATA -> JOIN DATA -> MERGE The tutorials in this folder are supplemental exercises that relate to ACL 9 topics covered in chapters 8, 9, 10, and 12 in the Hall, IT Auditing, 3rd edition textbook. The tutorials presume that the student has installed ACL from the CD accompanying the text and has worked through the ACLStart.pdf document in the ACL Manual folded. The tutorials are not a substitute for this basic ACL knowledge. These tutorials use…

    • 568 Words
    • 3 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Tutorial 4 Q derivative

    • 341 Words
    • 1 Page

    Tutorial 4 (Week 5) Currency derivative 3. Currency Options. Differentiate between a currency call option and a currency put option. 4. Forward Premium. Compute the forward discount or premium for the Mexican peso whose 90-day forward rate is $.102 and spot rate is $.10. State whether your answer is a discount or premium. 6. Hedging With Currency Options. When would a U.S. firm consider purchasing a call option on euros for hedging? When would a U.S. firm consider purchasing a put option on euros…

    • 341 Words
    • 1 Page
    Satisfactory Essays
  • Powerful Essays

    Info 1410 Tutorial 4

    • 1312 Words
    • 6 Pages

    INFO 1410 Tutorial 4 1 What are the advantages of using a glass substrate for a magnetic disk? Improvement in the uniformity of the magnetic film surface to increase disk reliability. A significant reduction in overall surface defects to help reduce read/write errors. Ability to support lower fly heights (described subsequently). Better stiffness to reduce disk dynamics. Greater ability to withstand shock and damage Explain the difference between a simple CAV system and a multiple zoned recording…

    • 1312 Words
    • 6 Pages
    Powerful Essays