Permutations and Combinations

Permutations and Combinations

University

10 Qs

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Permutations and Combinations

Permutations and Combinations

Assessment

Quiz

Mathematics

University

Practice Problem

Hard

Created by

Hehe Pogi

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the notation P(n,r) represent?

The number of r-permutations of a set with n elements

The number of r-combinations of a set with n elements

The number of permutations with repetition of a set with n elements

The number of ways to choose r elements from a set with n elements

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many permutations are there of a set of 3 elements taken 3 at a time with repetition?

9

6

27

81

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an example of a permutation without repetition?

Choosing 3 scoops of ice cream from 5 flavors

Choosing 4 students out of a class of 20 to form a team

Arranging 5 books on a shelf

Selecting 3 pieces of fruit from 6 types

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many 4-letter codes can be formed using the letters A, B, and C if repetition is allowed?

12

24

64

81

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the notation C(n,k) represent?

The number of k-permutations of a set with n elements

The number of k-combinations of a set with n elements

The number of combinations with repetition of a set with n elements

The number of ways to choose n elements from a set with k elements

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A _____ of a set is an arrangement of its members into a sequence or linear order. The number of ways to arrange n objects in order is denoted as P(n,r), where r is the number of objects chosen from the set.

Combination

Factorial

Elements

Permutation

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A _____ is a selection of items from a larger pool where order does not matter. The number of ways to choose k items from n items is denoted as C(n, k).

Combination

Factorial

Elements

Permutation

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