Skip to main content

Train Courses Problems Proof Blocks Tools Progress Account

⌄

AccountSign-in, membership, and settings Current courseCalculus IThemeAbout ProofAnvilLoading account…

Problem library

Find a problem

Search by course or topic.

Loading the problem library…

TrainCoursesProblemsProgressMoreTrain Courses Problems Progress

More

Proof Blocks Tools Account

ProofAnvil Practice$19 USD monthly · cancel any time

Pricing FAQ Features Roadmap Use with your agent Support Terms Privacy Refunds

Practice problems with hints and solutions · ProofAnvil

Problem library

Find a problem

Search by course or topic.

Search problems

Filters · 2 active

Area

AllMathPhysics

SubjectCourseTopic

Topic choices for Discrete Mathematics are shortened. Search still covers every problem.

StatusSkill

Skills match the applied subject and course.

Problem styleFind a private labelPrivate labelPrivate labels are visible only to you.Private labels ready.Favorites

Browsing still works.Sign in to use progress, saved problems and private labels. Problem search and previews remain available.

Progress labels

IndependentSolved with helpIncorrect / unresolvedDraft in progressNot attemptedReview due

Problem results

Sort

ProblemsClear skill: Induction Recursion Build a practice set

ProblemCourse & topicStatus

DM:9919087Mathematical problem title

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919088A license plate consists of either three uppercase English letters followed by three digits, or two uppercase…

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919089How many distinct rearrangements of the 11 letters in the word MATHEMATICS are there?

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919090A committee of 6 people is to be chosen from a group of 8 faculty members and 10 students.

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919091Let A be a set with 5 elements and B a set with 8 elements.

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919092Mathematical problem title

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919093Mathematical problem title

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919094Mathematical problem title

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919095In how many distinct ways can 9 people sit around a circular table if two particular people must sit next to each…

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919096A baker has 12 identical muffins and 4 distinct boxes.

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919097Twelve distinct books are to be placed onto 3 distinct shelves.

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919098Mathematical problem title

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919099Mathematical problem title

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919100Mathematical problem title

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919101Mathematical problem title

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919102Prove that among any 8 integers there exist two whose difference is divisible by 7.

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919103Mathematical problem title

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919104There are 50 students in a class.

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919105Let A be a set of 5 points in the plane with integer coordinates.

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919106Mathematical problem title

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919107How many integers from 1 to 1000 (inclusive) are not divisible by 2, 3, or 5?

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919108How many surjective functions are there from a set of 7 elements to a set of 4 elements?

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919109Mathematical problem title

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

DM:9919110Mathematical problem title

Induction RecursionDiscrete Mathematics Problem Solving

Induction, recursion, and invariantsDiscrete Mathematics · Calculation

—

Showing 24 of 43 matching problems.

Private labels

Edit private labels

Add labels that only you can see.

Problem

Current labels

Private labels are unavailable. Close this editor and try again.

New label

Use a short label.

(Honors) Let

u_n

be defined by

u_0=0

,

u_1=1

, and

u_n=4u_{n-1}-4u_{n-2}+n

for

n\geq

2.

How many functions

f:\{1,2,3,4,5,6\}\to\{1,2,3,4\}

are there?

Find the number of nonnegative integer solutions of the equation

u_1=1

.

Find the number of positive integer solutions of the equation

x_1+x_2+x_3+x_4=18

with

x_1\ge

2,

x_2\ge

3,

x_3\ge

1,…

Let

n\ge

1 be an integer.

Let

n\ge

1 and

k\ge

0 be integers.

Let

n\ge

1.

[Honors] Let

n\ge

1.

Let S be a set of 10 distinct integers chosen from

\{1,2,\ldots,18\}

.

[Honors] Let

a_1,a_2,\ldots,a_{10}

be a sequence of 10 real numbers.

The number of derangements d(n) of an n-element set is the number of permutations of

\{1,2,\ldots,n\}

with no…

How many integers n with

1\le

n\le

720 are relatively prime to 720?