Using the concept of counting techniques, what will be the solution and answer #7 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 thewordsa) REPUTATIONb) KINGOFMYHEART4. In how many ways can you select a committee of 3 studentsout of 10 students?5. How many triangles can you make using 6 non collinear pointson a plane?6. A committee including 3 boys and 4 girls is to be formed from agroup of 10 boys and 12 girls. How many different committeecan be formed from the group?7. 10 students passed a test in which the top three will get aprize. How many possible ways are there to get the prizewinners?8. Given 1, 2, 3, 4, 5, 6, 7, 0, 9, how many 4-digit numbers can beformed if it must be divisible by 10 and no repetition of digits?9. How many ways can 10 beads be formed in a bracelet?

We have to answer question number 7

Answered: . 10 students passed a test in which…

. 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?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 54SE: How many unique ways can a string of Christmas lights be arranged from 9 red, 10 green, 6 white, and...

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Question

Using the concept of counting techniques, what will be the solution and answer #7

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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