MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

Using the concept of counting techniques, what will be the solution and answer to each question.

1. How many 4-digit numbers can we make using the digits 3, 6, 0, 7 and 8 without repetitions? 2. How many 3-digit numbers can we make using the digits 2, 3, 4, 5, and 6 without repetitions? 3. How many permutations can we make using the letters in the words a) REPUTATION b) KINGOFMYHEART 4. In how many ways can you select a committee of 3 students out of 10 students? 5. How many triangles can you make using 6 non collinear points on a plane? 6. A committee including 3 boys and 4 girls is to be formed from a group of 10 boys and 12 girls. How many different committee can be formed from the group? 7. 10 students passed a test in which the top three will get a prize. How many possible ways are there to get the prize winners? 8. Given 1, 2, 3, 4, 5, 6, 7, 0, 9, how many 4-digit numbers can be formed if it must be divisible by 10 and no repetition of digits? 9. How many ways can 10 beads be formed in a bracelet?
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Transcribed Image Text:1. How many 4-digit numbers can we make using the digits 3, 6, 0, 7 and 8 without repetitions? 2. How many 3-digit numbers can we make using the digits 2, 3, 4, 5, and 6 without repetitions? 3. How many permutations can we make using the letters in the words a) REPUTATION b) KINGOFMYHEART 4. In how many ways can you select a committee of 3 students out of 10 students? 5. How many triangles can you make using 6 non collinear points on a plane? 6. A committee including 3 boys and 4 girls is to be formed from a group of 10 boys and 12 girls. How many different committee can be formed from the group? 7. 10 students passed a test in which the top three will get a prize. How many possible ways are there to get the prize winners? 8. Given 1, 2, 3, 4, 5, 6, 7, 0, 9, how many 4-digit numbers can be formed if it must be divisible by 10 and no repetition of digits? 9. How many ways can 10 beads be formed in a bracelet?
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