Question

For a certain probability test, the teacher created 6 problems with different versions. For problems 1, 3, and 4, he created five versions of each. For problems 5 and 6 there are four versions of each, while for problem 2 there is only one version.

a) How many different tests can be done if each test will have a version of each problem?

b) If in addition to the different versions for each problem, the teacher decides to put the problems in random order, how many different tests are possible?

Answer #1

a) As the order of questions is not important here, we would be using the product rule here to find the number of different tests possible.

= Product of the different number of versions of each of the 6 problems

= 5^{3}*4^{2}*1

= 2000

**Therefore there are 2000 different tests possible on the
basis of choosing the different versions only.**

b) Given that the order of questions is also important here, the number of different tests possible here is computed as:

= 2000* Number of permutations for those 6 questions chosen in part a)

= 2000*6!

= 1440000

**Therefore there are 1440000 different tests that can be
given here.**

For a certain probability test, the teacher created 6 problems
with different versions. For problems 1, 3, and 4, he created five
versions of each. For problems 5 and 6 there are four versions of
each, while for problem 2 there is only one version. How many
different tests can be done if each test will have a version of
each problem? If in addition to the different versions for each
problem, the teacher decides to put the problems in...

For a certain probability test, the teacher created 6 problems with different versions.
For problems 1, 3, and 4, he created five versions of each. For problems 5 and 6 there are
four versions of each, whereas for problem 2 there is only one version.
a. How many different tests can be done if each test will have a version of each
problem?
b. If in addition to the different versions for each problem, the teacher decides to place the...

68) Six problems were created with different versions. For problems 1, 3, and 4, the teacher created five versions of each. For problems 5 and 6 there are four versions of each, while for problem 2 there is only one version.
c) How many different tests can be done if each test will have a version of each problem?
d) If, in addition to the different versions for each problem, the teacher decides to place the problems in random order,...

5 parts to this question....
1.
During the school year, Jed, the 5th grade teacher
has a variety of ways to assess the progress of his students.
Please supply the appropriate test based on the additional
information given in each question.
Jed decides to divide his class into two groups so she can
determine which group he should spend more time with. He calls
these groups the smart group and the dumb group. He only intends to
test them once...

An English teacher needs to pick 10 books to put on his reading
list for the next school year, and he needs to plan the order in
which they should be read. He has narrowed down his choices to 4
novels, 4 plays, 6 poetry books, and 6 nonfiction books. Step 1 of
2 : If he wants to include no more than 3 plays, how many different
reading schedules are possible? Express your answer in scientific
notation rounding to...

Use permutations to solve each of the given problems
A baseball team has 15 players. How many 9-player batting orders
are possible?
From a cooler with 8 cans of different kinds of soda, 3 are
selected for 3 people. In how many ways can this be done?
A student speaks to his financial advisor about investment
products. The advisor has 9 products available but knows he will
only have time to speak out 4. How many different ways can he...

1) Answer each of the following problems. SHOW ALL NECESSARY
WORK to fully justify each of your answers.
a) From a box of 24 tiny dolls, A toddler selects a set of 6
dolls as her favorites . How many different ways can she make this
selection?
b) In how many different ways can the eleven players of a
football team line up to be in a photograph
c) A store has to hire two cashiers. Five people are interviewed...

Here is a simple probability model for multiple-choice tests.
Suppose that each student has probability p of correctly
answering a question chosen at random from a universe of possible
questions. (A strong student has a higher p than a weak
student.) The correctness of answers to different questions are
independent. Jodi is a good student for whom p = 0.83.
(a) Use the Normal approximation to find the probability that
Jodi scores 78% or lower on a 100-question test. (Round...

ind the number of ways of selecting 12 balls from 6 red bal
COMBINATION
Solve each of the following problems. (Show your work.)
Find the number of ways of selecting 12 balls from 6 red balls,
5 white balls and 5 blue balls if each selection consists of 4
balls of each color.
Among the seven nominees for two vacancies on the city council
are four men and six
women. In how many ways may these vacancies be filled...

Four different letters are distributed at random into 5
mailboxes by choosing one of the five mailboxes at random for each
of the letters.
a. Give a possible sample space for this problem. How many
points are in the sample space?
b. Find the probability that no mailbox contains more than one
letter.
c. Find the probability that the first two mailboxes are not
both empty.
Please include explanations throughout your solution.
d. Let a random variable X be defined...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 16 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 4 hours ago