Permutation
and Combination
1.
How many ways can
the letters A B C be arranged, using each letter only
once?
2.
A code
has
4 digits in a
specific order, the digits are between 0-9. How many different
permutations are there if one digit may only be used
once?
3.
In how many ways
can three students be selected for a project from a group of
fifteen students?
4.
Richmond Machine
Shop has eight machines but only three spaces available in the
warehouse. In how many ways can the eight machines be arranged in
the three spaces available?
5.
Royal cineplex
wants to create a team of three employees to work at the popcorn
stand. There are seven employees to work each evening. How many
different teams can the manager schedule?
6.
How many
possible ways can you form a
committee
consisting of John, Mary, and Alice?
7.
How many possible
ways
can you form a
committee consisting of John, Mary, and Alice, so that first person
is a president, second is a vice president, and third is a
treasurer?
8.
A company is
planning to recruit 3 interns from 25 applicants.
a.
What is the
probability of selecting an intern?
b.
How many ways can
the three interns be appointed?
c.
How many ways can
the three interns be appointed, so that they can be appointed in
three different locations?