Question

Suppose you have 2 cars total each fit 5 people. However, you have 12 people. How many different arrangements are there?

How many different groups of people could sit in the 2 cars that each fit 5, given that there are 12 total people?

1. Find the number of permutations of the elements in the set {1,3,5,7,9,11}

2. C(10,3)

Answer #1

Circular Permutations and Permutations with Similar Elements
1) In how many ways can three people be made to sit at a round
table?
2) In how many ways can three couples be seated at a round
table, so that men and women sit alternately?
3) In how many ways can five keys be put on a key ring?
4) Find the number of different permutations of the letters of
the word MATHEMATICS.
5) How many different ways can three pennies,...

discrete mathematics
1. How many element are in A1 È A2 if there are 12 elements A1,
18 elements in A2 and
a) A1 Ç A2 =Æ?
b) | A1 Ç A2 | =1?
c) | A1 Ç A2 | =6?
d) A1 Í A2?
2. There are 345 students at a college who have taken a course
in calculus, 212 who have taken a course in discrete mathematics
and 188 who have taken courses in both calculus and discrete...

QUESTION NINE:
(a) A hospital has 5 rooms each with 2 beds for children. If 5
pairs of identical twins are to be
assigned to these 10 beds so that each pair of twins sleeps in
different beds in the same
room, how many assignments are possible?
(b) 4 students from Maths class, 3 students from Economics class
and 3 students from Accounting
class are to be seated in a row. How many sitting arrangements are
possible when students
of...

1. 15 people are divided into 2 groups one with 5 and the other
with 7 people in them. How many ways are there to do this?
2. 10 people including Mr.Joe and Mr.T are to be seated in a
row. How many ways are there to do this so that they don't sit
together?
Please answer the problems using the easiest method possible.
Thank You

a. i. 12 people are to be divided into a group of 6, a group of
4 and a group of 2. in how many different ways can this be
done?
ii. Determine the number of different arrangements that can be
made of all 9 letters in the word CAMERAMAN in each of the
following cases.
- There are no restrictions
- The A's occupy the 1st, 5th and 9th positions
- There is exactly one letter between the M's

2. Suppose you have
a data set of 7 numbers. If the constant 5 is added to each value
in the set, what happens to the mean? What happens to the standard
deviation?
3. There is a chowder eating contest in a small New England
town. The distribution of the amount of chowder consumed is
bell-shaped with mean 32 ounces and variance 64 ounces. If two
hundred people participated in the contest, find the following.
a. The number of people...

A 20-person fraternity is making their weekend plans
around 5 different parties in IV. Each brother will attend exactly
one of the parties. Fraternity rules state that the fraternity must
have a representative at each party. Assume that only the number of
brothers that show up at a party is important, i.e. the brothers
are indistinguishable.
(a) How many different arrangements of plans are
possible?
20-15 brothers are free to attend any of the 5
parties
(b) How many different...

Please show your work and provide explanation!
1a) How many different ways can 40 people be divided into two
groups, with at least one person in each group? For example, a
partition can be {1} and {2-49}. Another example of a partition
could be {1-20} and {21-40}. There is no limit to how many people
can be in each group as long as they each have at least one
person.
1b) A deck of cards has 52 cards, 4 suits...

A 20-person fraternity is making their weekend plans around 5
different parties in IV. Each brother will attend exactly one of
the parties. Fraternity rules state that the fraternity must have a
representative at each party. Assume that only the number of
brothers that show up at a party is important, i.e. the brothers
are indistinguishable
(a) How many different arrangements of plans are possible?
(b) How many different arrangements of plans are possible so
that none of the bros...

4. a) i) If 4
individuals are selected from a group of 7 people,
how many possible selection option could be
made?
ii) In a competition prizes are given to 6 of the 10
participants.
How many possible prize lists could be made if they are given
different prizes?
b) In how many ways can the letters of the word
SEMESTER be rearranged?
5) If the fifth term of a AP
is...

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