An examination consists of a section A, containing 10 short questions, and a section B, containing 5 long questions. Candidates are required to answer 6 questions from section A and 3 questions from section B.Find the number of different selections of questions that can be made if candidates must answer the first 2 questions in section A and the first question in section B.

  1. 👍 0
  2. 👎 0
  3. 👁 259
  1. You must answer the first 2 of A, that leaves 4 more to choose from the remaining 8 of A ----> C(8,4) = 70
    You must answer the first of B, that leaves 2 more to choose from the remaining 4 of B ---> C(4,2) = 6

    Number of ways to answer the test = 70*6 = 420
    (note, that the order in which you answer the questions does not matter, thus you have a combination)

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. thermodynamics

    A fluid moves in a steady flow manner between two sections ina flow line. At section 1: A1=10ft2, v1=100ft/min, specificvolume1= 4ft3/lb. At section 2: A2=2ft2, density 2= 0.20 lb/ft3.Calculate the mass flow rate and speed at

  2. algebra 2

    A stadium has 49,000 seats. Seats sell for 25 dollars in Section A, 20 dollars in Section B, and 15 dollars in section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium

  3. precalculus

    The first row of seating in section A of an arena has 7 seats. There are 25 rows in section A, each row containing two more seats than the row preceeding it. How many seats are in section A? How do you use geometric sequence to

  4. Music

    In a Baroque da capo movement, it is customary to improvise ornaments during which section? A) The first A section. B) The B section C.) The second A section D) none of the above

  1. MATH @Damon @ms. Sue

    Given the function f(x) = 2(3)^x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average rate of change of each section. Part B: How many times greater is the average rate of change of

  2. History

    a) I can't find anything about the Electoral college being described in the Constitution? (My teacher said there are two parts) Is there a section in the Constitution where it describes the checks and balance system? I need to

  3. math

    Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer Methods. Each section of Finite Math has 40 students and earns the college $40,000 in revenue. Each section of Applied Calculus

  4. algebra

    An exam consists of two parts, Section X and Section Y. There can be a maximum of 95 questions. There must be at least 20 more questions in Section Y than in Section X. Write a system of inequalities to model the number of

  1. criminal justice

    the two basic parts of crime report are the: a. face sheet and the narrative section b. narrative section and fact sheet c. statistical section and fill in the blank section d. information section and the fact sheet. is it B

  2. Physics

    Water flows horizontally in a tapered pipe at a rate of 500 m^3/h. The area at one section of the pipe is 6500 mm² and 4000 mm² at another section. Calculate the gauge pressure at the larger section if the pressure at the

  3. Maths

    A class test consists of 4 Algebra questions,W ,X,Y and Z, and 4 Geometry questions,A,B,C and D.The teacher decides that the questions should be arranged in two sections.Algebra followed by Geometry,with questions in each section

  4. Math

    A 17 foot pipe is cut into three sections. The longest section is 3 times as long as the shortest and the middle sized section is 2 feet longer than the shortest. Find the length of each section to the nearest foot

You can view more similar questions or ask a new question.