Combinatorics

Combinatorics

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is Combinatorics?

Back

Combinatorics is a branch of mathematics dealing with combinations, arrangements, and counting of objects.

2.

FLASHCARD QUESTION

Front

Define Permutation.

Back

A permutation is an arrangement of objects in a specific order. The number of permutations of n objects taken r at a time is given by n! / (n - r)!.

3.

FLASHCARD QUESTION

Front

Define Combination.

Back

A combination is a selection of objects without regard to the order. The number of combinations of n objects taken r at a time is given by n! / (r!(n - r)!).

4.

FLASHCARD QUESTION

Front

What is a Factorial?

Back

A factorial, denoted as n!, is the product of all positive integers up to n. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120.

5.

FLASHCARD QUESTION

Front

What is a Tree Diagram?

Back

A tree diagram is a visual representation used to show all possible outcomes of a situation, often used in probability and combinatorics.

6.

FLASHCARD QUESTION

Front

How many different models of a car can you buy if there are 9 colors, 3 styles, and 2 sizes?

Back

54 different models (9 colors × 3 styles × 2 sizes = 54).

7.

FLASHCARD QUESTION

Front

How many ways can you select 4 cards of the same suit from a deck?

Back

2,860 ways.

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