MATH 110 MODULE 6 TEST BANK 2026 COMPLETE QUESTIONS WITH PRACTICE SOLUTION

MATH 110 MODULE 6 TEST BANK 2026
COMPLETE QUESTIONS WITH PRACTICE
SOLUTION

◉ Fill in the blanks to show how to evaluate P(9, 5) using the
counting principle.
( ) · ( ) · ( ) · ( ) · ( ) Answer: (9) · (8) · (7) · (6) · (5/1)


◉ Evaluate the expression.
P(9, 3) · P(5, 2) Answer: 10080


◉ Evaluate the expression.
C(9, 2) Answer: 36


◉ Evaluate the expression.
C(7, 4) · C(9, 4) Answer: 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?
Answer: 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? Answer: 252


◉ Ten people decide to play softball. In how many ways can the 10
people be divided into 2 teams of 5 people? Answer: 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.) Answer: 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 Answer: 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 Answer: 1/6