(a) in how many different ways can a student check off one answer to each question?
(a) in how many different ways can a student check off one answer to each question? (b) in how many ways can a student check off one answer to each question and get all the answers wrong
Twenty people check their hats at a theater. In how many ways
can their hats be returned so that
(a) no one receives his or her own hat?
(b) at least one person receives his or her own hat?
(c) exactly one person receives his or her own hat?
7. How many different ways can the letters in “COUNT” be
arranged? 8. How many different ways can the letters in
“PROBABILITY” be arranged?
9. A pizza restaurant offers 15 different toppings, but only
allows customers to select up to four different toppings for each
pizza. How many different ways are there for customers to choose up
to four toppings for a pizza?
10. A youth soccer team consists of 12 players. When they have
games, they play simultaneously on...
A student council consists of 15 students.
(a)
In how many ways can a committee of five be selected from the
membership of the council?
(b)
Two council members have the same major and are not permitted to
serve together on a committee. How many ways can a committee of
five be selected from the membership of the council?
(c)
Two council members always insist on serving on committees
together. If they can't serve together, they won't serve at all....
1. In a typical CANDU reactor, how many different ways can one
control the reactor power? Describe the situations when each of
these techniques are used?
A student wants to create a password consisting of 7 characters.
How many possible ways can the student create the password if the
first three characters are letters following by two digits and the
last two characters can be letters or digits?
PLEASE EXPLAIN WHY YOU CHOOSE EACH ANSWER
1). How many distinct ways can a President, Vice President,
Secretary and Treasurer be selected from a group of 10 people if no
one can hold more than on position?
A). P(10,4)
B). 10 choose 4
C). 10^4
D). 4^10
E). 13 choose 10
F). None of these
2). How many shortest lattice paths are there from (0,0) to
(10,4)
A). P(10,4)
B). 10 choose 4
C). 10^4
D). 4^10
E). 13 choose...
10 people are sitting in a circle. How many different ways can
they be seated relative to each other if Steve and Alice must be
seated directly across from each other?
Do I need to apply the circular permutation formula of (n-1)!,
and do I need to multiply the end result by 2 to account for the
fact that they could be in different positions kinda like standing
beside each other where one is on the left but could also...