1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga nikolaevna [1]
3 years ago
11

A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must be shown. If an examinee

must answer 6 of the multiple-choice questions and 4 of the open-ended problems, in how many ways can the questions and problems be chosen?
A) 1260
B) 1296
C) 261,273,600
D) 21,772,800
Mathematics
1 answer:
katrin [286]3 years ago
5 0

Answer: A) 1260

Step-by-step explanation:

We know that the number of combinations of n things taking r at a time is given by :-

^nC_r=\dfrac{n!}{(n-r)!r!}

Given : Total multiple-choice questions  = 9

Total open-ended problems=6

If an examine must answer 6 of the multiple-choice questions and 4 of the open-ended problems ,

No. of ways to answer 6 multiple-choice questions

= ^9C_6=\dfrac{9!}{6!(9-6)!}=\dfrac{9\times8\times7\times6!}{6!3!}=84

No. of ways to answer 4 open-ended problems

= ^6C_4=\dfrac{6!}{4!(6-4)!}=\dfrac{6\times5\times4!}{4!2!}=15

Then by using the Fundamental principal of counting the number of ways can the questions and problems be chosen = No. of ways to answer 6 multiple-choice questions x No. of ways to answer 4 open-ended problems

= 84\times15=1260

Hence, the correct answer is option A) 1260

You might be interested in
A history test is worth 100 points. There are 26 total questions. There are vocabulary questions that are worth 2 points each an
NARA [144]

Answer:

/

Step-by-step explanation:

why u scrolling so much

danggg

wow

heres the answer <3

just kiddding

hahahah

<u><em>boo</em></u>

<u><em></em></u>

<u><em></em></u>

<u><em></em></u>

<u><em></em></u>

<u><em></em></u>

<u><em></em></u>

<u><em></em></u>

lllloooolll

7 0
2 years ago
Read 2 more answers
The present above is a 10 in by 10 in by 10 in cube. How many square inches of wrapping paper do you need to wrap the box?
Mashutka [201]

Answer:

600 in^2.

Step-by-step explanation:

There are 6 faces on a cube so the area we need is:

6 * 10 * 10

= 600 in^2.

5 0
3 years ago
PLEASE HELP!!! Help would be really appreciated here!!! <br> Find M angle V
Blizzard [7]
Answer is 16 ° of angels
4 0
3 years ago
A delivery truck weighs 5.5 tons before it is loaded with packages. Once the delivery truck is full of x packages it weighs 6.1
KIM [24]

Answer:

80 packages

Step-by-step explanation:

0.0075*80= 0.6            5.5 + 0.6= 6.1

4 0
2 years ago
Line graphs are used to represent the relation between two scale variables. two common types of relations depicted in these grap
Maurinko [17]
Time and change, as well as nonlinear relations.
8 0
3 years ago
Other questions:
  • Ind the missing term in the following geometric sequence. 4, __, 500
    8·2 answers
  • HelpPlease I don’t understand
    5·1 answer
  • Tim answers 7 out 8 questions correctly.At this rate, how many questions will he answer correctly out of 96.
    5·1 answer
  • Based on the given information, determine which sides of quadrilateral ABCD must be parallel.
    10·1 answer
  • Given a1=4, find the term of the recursivr sequence using: a=2an-1
    12·1 answer
  • What’s the answer for this Algebra Math question??
    5·2 answers
  • (3x - 7) + (-2x -8) *
    12·1 answer
  • Point D is located at (-4,4), Point E is located at (4,4), Point F is located at (4,2) and Point G is located at (-4,2). What is
    7·1 answer
  • In angle PQR, angleQ=70 angle R=45 then angleP=.....<br>​
    8·1 answer
  • How much do i make a week if i earned 9,857.38 in 4 months 7 days? Please help!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!