Question

In a class of 30 students 5 prizes will be distributed, find out how many ways can this be made if a) the prizes are different b) the prizes are the same.

Answer #1

How many ways can a teacher give five different prizes to five
of her 23 students?

A class has 29 students. In how many different ways can four
students form a group for an activity? (Assume the order of the
students is not important.)
There are
_____ different ways that the four students can form a group for
an activity.

There are 11 students in a very small 3rd grade class. In how
many ways can the 11 students be lined up to go out for recess? The
teacher needs to choose two students to serve on the 3rd grade
council. In how many ways can she do that? The teacher needs to
select a hall monitor, a board cleaner, and a lunch hauler for the
class. In how many ways can she assign students to these three
positions?

A class contains 30 students.
1) The teacher asks three questions during a class, which any
student can answer. How many unique outcomes?
2) The class is divided into 6 teams of 5 students each,
numbered team #1 thru #6. Each team is to make a presentation. How
many different ways can the team presentations be sequenced?
3) A team of 8 students is to be selected from the class. In how
many unique ways can this team be selected?...

At the Guelph University presentation they gave out prizes! 15
people were at the presentation. The first 2 names drawn got
t-shirts, the next 3 different names drawn were given hats and the
last 5 different students were given key chains. How many different
ways can the prizes be handed out?
Show your calculations.

A primary school has 10 students, and we’d like to award 3
prizes to 3 different students. Each student can receive at most
one prize. How many ways are there to award the prizes if:
(1) All the prizes are the same.
(2) All the prizes are the same and Tom, the youngest student,
is awarded a prize.
(3 )All the prizes are different.
(4) All the prizes are different and Tom, the youngest student
is not awarded a prize.

In how many ways can 3 students from a class of 10 be chosen for
a field trip?

in how many ways can a teacher divide a class of 14
students into four groups, one group of five students and three
groups of three students each, to work on a project?

a. Eight runners are entered in a race where there are only
prizes for a first, second or third place finish. How many ways can
eight runners be arranged into first, second, third?
b.From a class of 50 students , a committee of 5 students is
needed to manage the annual BBQ. How many ways can the committee of
5 be chosen?

1. There are 65 students, 35 females and 30 males in a class.
How many ways to choose 3 students so that 1 of them is male?
2. A student is writing a multiple choice test with 20
questions. Each question has 4 possible answers. The student will
randomly choose one of the 4 answers for each question. What is the
probability the student answers at least 2 questions correctly?
(please answer questions step by step)

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