Maths Permutations and Combinations Test 8

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Maths Permutations and Combinations Test 8: Mastering Arrangements and Selections

Permutations and combinations are among the primary fundamentals of math and are extensively used in fields like Probability, Cryptography, Discrete Mathematics. Nokryan Maths Permutations and Combinations Test 8 is targeting audience for this content is those selected for teaching these concepts, which would benefit from the comprehensive information and problem-solving strategies that com provides.

Key Concepts Covered

This test focuses on essential topics, including:

Understanding Permutations – Learn how to arrange objects in specific sequences and apply the permutation formula (nPr = n! / (n-r)!).
Mastering Combinations – Explore the selection of objects without considering order using the combination formula (nCr = n! / (r!(n-r)!)).
Permutation Equations – Solve real-world mathematical problems using permutation-based equations.
Applications in Cryptography – Understand permutation ciphers, an essential technique used in data encryption and security.
Discrete Mathematics and Permutations – Explore the role of permutations in set theory, counting principles, and probability.
Real-Life Applications – Apply permutations and combinations in scheduling, lottery systems, and complex decision-making scenarios.
Factorial and Counting Principles – Gain a deep understanding of factorial functions and their role in counting and arrangements.

Why Take Maths Permutations and Combinations Test 8?

Comprehensive Explanations – Get step-by-step solutions with easy-to-understand breakdowns.
Variety of Question Types – Solve problems ranging from simple to advanced difficulty levels.
Time-Saving Techniques – Learn quick tricks to calculate permutations and combinations efficiently.
Practical Applications – Understand how these concepts apply in real-world scenarios, including data security and probability.
Mock Tests and Practice Exercises – Strengthen your grasp through interactive quizzes and timed tests.

Who Should Take This Test?

Competitive Exam Aspirants – Essential for exams that include probability and combinatorial problems.
Mathematics Enthusiasts – For those interested in deepening their knowledge of discrete mathematics.
Students and Academic Learners – Beneficial for Class 11 and 12 mathematics and higher-level studies.
Computer Science and Cryptography Learners – Useful for those studying encryption techniques and algorithm design.

Get Started Today!

Nokryan.com provides an interactive and structured platform to help you master Maths Permutations and Combinations Test 8. Whether you’re revising for exams or exploring advanced applications, our resources are designed to enhance your mathematical proficiency.

Take the test now and build a strong foundation in permutations and combinations with Nokryan.com!

Maths Permutations and Combinations Test.8

Quiz Instructions:

There will be 20 multiple choice question in this online test.
Answer of the questions will change randomly each time you start this test.
Practice this test at least 3 times if you want to secure High Marks.
At the End of the Test you can see your Test score and Rating.

1 / 20

Three flags each of different colours are available for a military exercise, Using these flags different codes can be generated by waving
I. Single flag of different colours
II. Any two flags in a different sequence of colours.
III. three flags in a different sequence of colours.
The maximum number of codes that can be generated is.

A. 6

B. 9

C. 15

D. 18

2 / 20

A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?

A. 63

B. 511

C. 1023

D. 15

3 / 20

In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?

A. 400

B. 500

C. 600

D. 20

4 / 20

In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”?

A. 25

B. 13

C. 40

D. 30

5 / 20

A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?

A. ⁹C₂

B. ³C₂

C. ¹⁶C₂

D. ¹²C₂

6 / 20

How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}

A. 60

B. 360

C. 120

D. 240

7 / 20

How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?

A. 360

B. 60

C. 300

D. 180

8 / 20

The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is_________?

A. (6!)2

B. 6! * ⁷P₆

C. 2(6!)

D. 6! * 7

9 / 20

A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most__________?

A. 216

B. 243

C. 215

10 / 20

A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?

A. 165

B. 185

C. 205

D. 225

11 / 20

What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?

A. 100

B. 60

C. 30

12 / 20

A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?

A. 150

B. 200

C. 250

D. 300

13 / 20

The number of permutations of the letters of the word ‘MESMERISE’ is___________?

A. 9!/(2!)2 3!

B. 9!/(2!)3 3!

C. 9!/(2!)2 (3!)2

D. 5!/(2!)2 3!

14 / 20

The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?

A. 720

B. 144

C. 120

15 / 20

Using all the letters of the word “NOKIA”, how many words can be formed, which begin with N and end with A?

A. 3

B. 6

C. 24

D. 120

16 / 20

Using all the letters of the word “THURSDAY”, how many different words can be formed?

A. 8

B. 8!

C. 7!

D. 7

17 / 20

How many three letter words are formed using the letters of the word TIME?

A. 12

B. 20

C. 16

D. 24

18 / 20

A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?

A. 21

B. 12

C. 9

D. 108

19 / 20

There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?

A. 870

B. 435

C. 30!

D. 29! + 1

20 / 20

In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?

A. 120

B. 720

C. 4320

D. 2160

Your score is

The average score is 0%

Maths Permutations and Combinations Test 8