Discrete Mathematics Warmups

Intro

Concept Quizzes

Rearranging Blocks Warmup
Counting Triangles Warmup
Quadruplets Ordering Warmup
Arrangement Puzzles
递归热身
Walking in a Rectangular Grid Warmup

Challenge Quizzes

Discrete Mathematics Warmups: Level 1 Challenges
Discrete Mathematics Warmups: Level 2 Challenges
Discrete Mathematics Warmups: Level 3 Challenges
Discrete Mathematics Warmups: Level 4 Challenges
Discrete Mathematics Warmups: Level 5 Challenges

Quadruplets Ordering Warmup

Andy, Brandy, Candy and Dandy are 4 quadruplets.

How many ways are there to arrange them in a row (without any restriction)?

\[4!\] \[4^4\] \[4^3 \] \[3!\]

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byBrilliant Staff

Andy, Brandy, Candy and Dandy are 4 quadruplets.

Andy and Brandy are very friendly and want to sit next to each other. Assuming this, how many ways are there to arrange all 4 quadruplets in a row?

\[3!\] \[3! \times 3! \] \[ 3! \times 2! \] \[3! \times 4 \]

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byBrilliant Staff

Andy, Brandy, Candy and Dandy are 4 quadruplets.

Andy and Candy are quarreling with each other, and refuse to sit next to each other. How many ways are there to arrange them in a row?

12 24 18 6

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byBrilliant Staff

Andy, Brandy, Candy and Dandy are 4 quadruplets.

Andy and Candy are quarreling with each other, and refuse to sit next to each other.
Likewise, Brandy and Dandy are quarreling with each other, and refuse to sit next to each other.
How many ways are there to arrange them in a row?

8 6 4 10

Show explanation

byBrilliant Staff

Andy, Brandy, Candy and Dandy are 4 quadruplets.

Andy and Brandy are quarreling with each other, and refuse to sit next to each other.
Andy and Candy are quarreling with each other, and refuse to sit next to each other.
How many ways are there to arrange them in a row?

2 6 4 8

Show explanation

byBrilliant Staff

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