Discrete Math Test 2 Questions with
complete solution 2026
a. 325×18 = 5850
b. 325+18 = 343 - correct answer ✔There are 18 mathematics majors and 325 computer science majors
at a college.
a. In how many ways can two representatives be picked so that one is a mathematics major and the
other is a computer science major?
b. In how many ways can one representative be picked who is either a mathematics major or a
computer science major?
a. 4¹⁰
b. 5¹⁰ - correct answer ✔A multiple-choice test contains 10 questions. There are four possible answers
for each question.
a. In how many ways can a student answer the questions on the test if the student answers every
question?
b. In how many ways can a student answer the questions on the test if the student can leave answers
blank?
7×6 = 42 - correct answer ✔Six different flights fly from New York to Denver and seven fly from Denver
to San Francisco. How many different pairs of airlines can you choose on which to book a trip from New
York to San Francisco via Denver, when you pick an airline for the flight to Denver and an airline for the
continuation flight to San Francisco?
, 26³ - correct answer ✔How many different three-letter initials can people have?
26² = 676 - correct answer ✔How many different three-letter initials are there that begin with A?
2⁸ - correct answer ✔How many bit strings of length 10 both begin and end with 1?
n - correct answer ✔How many bit strings with length not exceeding n, where n is a positive integer,
consist entirely of 1s, not counting the empty string?
26+26²+26³+26⁴ = 475,254 - correct answer ✔How many strings are there of lowercase letters of length
four or less, not counting the empty string?
a. 10³-10 = 990
b. 5×10² = 500
c. 10+10+10-3 = 27 - correct answer ✔How many strings of three decimal digits
a. do not contain the same digit three times?
b. begin with an odd digit?
c. have exactly 2 digits that are 4?
3⁵⁰ - correct answer ✔A committee is formed consisting of one representative from each of the 50
states in the United States, where the representative from a state is either the governor or one of the
two senators from that state. How many ways are there to form this committee?
complete solution 2026
a. 325×18 = 5850
b. 325+18 = 343 - correct answer ✔There are 18 mathematics majors and 325 computer science majors
at a college.
a. In how many ways can two representatives be picked so that one is a mathematics major and the
other is a computer science major?
b. In how many ways can one representative be picked who is either a mathematics major or a
computer science major?
a. 4¹⁰
b. 5¹⁰ - correct answer ✔A multiple-choice test contains 10 questions. There are four possible answers
for each question.
a. In how many ways can a student answer the questions on the test if the student answers every
question?
b. In how many ways can a student answer the questions on the test if the student can leave answers
blank?
7×6 = 42 - correct answer ✔Six different flights fly from New York to Denver and seven fly from Denver
to San Francisco. How many different pairs of airlines can you choose on which to book a trip from New
York to San Francisco via Denver, when you pick an airline for the flight to Denver and an airline for the
continuation flight to San Francisco?
, 26³ - correct answer ✔How many different three-letter initials can people have?
26² = 676 - correct answer ✔How many different three-letter initials are there that begin with A?
2⁸ - correct answer ✔How many bit strings of length 10 both begin and end with 1?
n - correct answer ✔How many bit strings with length not exceeding n, where n is a positive integer,
consist entirely of 1s, not counting the empty string?
26+26²+26³+26⁴ = 475,254 - correct answer ✔How many strings are there of lowercase letters of length
four or less, not counting the empty string?
a. 10³-10 = 990
b. 5×10² = 500
c. 10+10+10-3 = 27 - correct answer ✔How many strings of three decimal digits
a. do not contain the same digit three times?
b. begin with an odd digit?
c. have exactly 2 digits that are 4?
3⁵⁰ - correct answer ✔A committee is formed consisting of one representative from each of the 50
states in the United States, where the representative from a state is either the governor or one of the
two senators from that state. How many ways are there to form this committee?
