MATH 110 TEST 4 EXAM WITH
CORRECT ANSWERS 2025
Evaluate the expression.
(8 − 4)! ( correct answers ) 24
Fill in the blanks to show how to evaluate P(9, 5) using
the counting principle.
( ) · ( ) · ( ) · ( ) · ( ) ( correct answers ) (9) · (8) · (7) ·
(6) · (5/1)
Evaluate the expression.
P(9, 3) · P(5, 2) ( correct answers ) 10080
Evaluate the expression.
C(9, 2) ( correct answers ) 36
Evaluate the expression.
C(7, 4) · C(9, 4) ( correct answers ) 4410
The board of directors of a corporation must select a president,
a secretary, and a treasurer. In how many possible ways can
this be accomplished if there are 23 members on the board of
directors? ( correct answers ) 10626
A restaurant offers a special pizza with any 5 toppings. If
the restaurant has 10 toppings from which to choose, how
many different special pizzas are possible? ( correct
answers ) 252
, Ten people decide to play softball. In how many ways can the
10 people be divided into 2 teams of 5 people? ( correct
answers
) 252 ways
A dodecahedral die (one with 12 sides numbered from 1 to 12)
is tossed once.
Find the probability that the number on the upward face is
divisible by 3. (Enter the probability as a fraction.) ( correct
answers ) 4/12
Two regular 6-sided dice are tossed. Compute the probability
that the sum of the pips on the upward faces of the 2 dice is
the following. (See the figure below for the sample space of
this experiment. Enter your probability as a fraction.)
8 ( correct answers ) 5/36
Two regular 6-sided dice are tossed. Compute the probability
that the sum of the pips on the upward faces of the 2 dice is
the following. (Enter your probability as a fraction.)
At least 10 ( correct answers ) 1/6
Two regular 6-sided dice are tossed. Compute the probability
that the sum of the pips on the upward faces of the two dice
is the following. (Enter your probability as a fraction.)
At most 4 ( correct answers ) 2/12
A card is selected at random from a standard deck of playing
cards.Compute the probability that the card is a face card (jack,
queen, or king). (Enter your probability as a fraction.) ( correct
answers ) 12/52
CORRECT ANSWERS 2025
Evaluate the expression.
(8 − 4)! ( correct answers ) 24
Fill in the blanks to show how to evaluate P(9, 5) using
the counting principle.
( ) · ( ) · ( ) · ( ) · ( ) ( correct answers ) (9) · (8) · (7) ·
(6) · (5/1)
Evaluate the expression.
P(9, 3) · P(5, 2) ( correct answers ) 10080
Evaluate the expression.
C(9, 2) ( correct answers ) 36
Evaluate the expression.
C(7, 4) · C(9, 4) ( correct answers ) 4410
The board of directors of a corporation must select a president,
a secretary, and a treasurer. In how many possible ways can
this be accomplished if there are 23 members on the board of
directors? ( correct answers ) 10626
A restaurant offers a special pizza with any 5 toppings. If
the restaurant has 10 toppings from which to choose, how
many different special pizzas are possible? ( correct
answers ) 252
, Ten people decide to play softball. In how many ways can the
10 people be divided into 2 teams of 5 people? ( correct
answers
) 252 ways
A dodecahedral die (one with 12 sides numbered from 1 to 12)
is tossed once.
Find the probability that the number on the upward face is
divisible by 3. (Enter the probability as a fraction.) ( correct
answers ) 4/12
Two regular 6-sided dice are tossed. Compute the probability
that the sum of the pips on the upward faces of the 2 dice is
the following. (See the figure below for the sample space of
this experiment. Enter your probability as a fraction.)
8 ( correct answers ) 5/36
Two regular 6-sided dice are tossed. Compute the probability
that the sum of the pips on the upward faces of the 2 dice is
the following. (Enter your probability as a fraction.)
At least 10 ( correct answers ) 1/6
Two regular 6-sided dice are tossed. Compute the probability
that the sum of the pips on the upward faces of the two dice
is the following. (Enter your probability as a fraction.)
At most 4 ( correct answers ) 2/12
A card is selected at random from a standard deck of playing
cards.Compute the probability that the card is a face card (jack,
queen, or king). (Enter your probability as a fraction.) ( correct
answers ) 12/52
