PERMUTATIONS AND COMBINATIONS

PERMUTATIONS AND COMBINATIONS

9th - 12th Grade

30 Qs

quiz-placeholder

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PERMUTATIONS AND COMBINATIONS

PERMUTATIONS AND COMBINATIONS

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

Created by

Adeoluwa Oluyinka

Used 7+ times

FREE Resource

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 2 pts

There are 720 different 5-digit numbers that can be formed using the digits 1, 2, 3, 5, 7, and 8, if each digit may be used only once in any number. How many of these 5-digit numbers are even and greater than 30000?

360

168

240
300

2.

MULTIPLE CHOICE QUESTION

45 sec • 2 pts

There are 720 different 5-digit numbers that can be formed using the digits 1, 2, 3, 5, 7, and 8, if each digit may be used only once in any number. How many of the 5-digit numbers are not divisible by 5?

720
576
648
600

3.

MULTIPLE CHOICE QUESTION

45 sec • 2 pts

The number of combinations of n items taken 3 at a time is 6 times the number of combinations of n items taken 2 at a time. Find the value of the constant n.

n = 20

n = 18

n = 9
n = 7

4.

MULTIPLE CHOICE QUESTION

45 sec • 2 pts

Find how many different 5-digit numbers can be formed using the digits 1, 2, 3, 5, 7 and 8, if each digit may be used only once in any number.

720
120
360
600

5.

MULTIPLE CHOICE QUESTION

45 sec • 2 pts

In an examination, candidates must select 2 questions from the 5 questions in section A and select 4 questions from the 8 questions in section B. Find the number of ways in which this can be done.

700 ways

420 ways
320 ways
280 ways

6.

MULTIPLE CHOICE QUESTION

45 sec • 2 pts

The digits of the number 6378129 are to be arranged so that the resulting 7-digit number is even. Find the number of ways in which this can be done.

2160

90720
362880
1814400

7.

MULTIPLE CHOICE QUESTION

45 sec • 2 pts

Jess wants to arrange 9 different books on a shelf. There are 4 mathematics books, 3 physics books and 2 chemistry books. Find the number of different possible arrangements of the books if all the mathematics books are kept together and all the physics books are kept together.

9!
4!*3!*2!*3!

4!*3!*4!

4!*3!*2!*2!

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