give two examples of situations in real life that illustrate combinations in each situation a formulate a problem be solve the problems explain how this particular problem may help you in formulating conclusion and or making decisions
Examples Where Permutation is Used in Real Life Situation
If you thought permutation has nothing to do with you, then think again.
Have you ever tried arranging objects with a specific order?
If you have, then that is where the concept of permutation takes place.
Permutation is the process where arrangement, sequence or order is important. It is the act of arranging things in a specific order.
The below are some real life scenarios where the use of permutation is evident.
Situation 1:
You are to set a 3 digit combination lock with 3 rotating wheels each with 10 different numbers.
Solution:
The answer is obtained by P(10,3)
Where we can read it as the permutation of 10 digits taken 3 at a time.
the answer is there are 720 ways you can set a lock in a combination lock.
Usage in Daily Life:
We use a combination lock if we are not fond of carrying a key always.
Combination lock are very useful and efficient, but we have to be very careful in setting up the digit codes since these are very difficult to open specially if we forget the digit codes.
Problem 2:
The number of ways a professor can arrange 10 students in a row?
Solution:
The answer is obtained by the permutation P(10,1) = 10 ways.
Usage in Daily Life:
Seating arrangement is important to a teacher because this can be
a way to manage behavior in class. For example, he may choose to not let two noisy students
sit together or he can put three students sit side by side so they can help each other.
Answers & Comments
Answer:
Examples Where Permutation is Used in Real Life Situation
If you thought permutation has nothing to do with you, then think again.
Have you ever tried arranging objects with a specific order?
If you have, then that is where the concept of permutation takes place.
Permutation is the process where arrangement, sequence or order is important. It is the act of arranging things in a specific order.
The below are some real life scenarios where the use of permutation is evident.
Situation 1:
You are to set a 3 digit combination lock with 3 rotating wheels each with 10 different numbers.
Solution:
The answer is obtained by P(10,3)
Where we can read it as the permutation of 10 digits taken 3 at a time.
the answer is there are 720 ways you can set a lock in a combination lock.
Usage in Daily Life:
We use a combination lock if we are not fond of carrying a key always.
Combination lock are very useful and efficient, but we have to be very careful in setting up the digit codes since these are very difficult to open specially if we forget the digit codes.
Problem 2:
The number of ways a professor can arrange 10 students in a row?
Solution:
The answer is obtained by the permutation P(10,1) = 10 ways.
Usage in Daily Life:
Seating arrangement is important to a teacher because this can be
a way to manage behavior in class. For example, he may choose to not let two noisy students
sit together or he can put three students sit side by side so they can help each other.
Step-by-step explanation: