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The number of ways in which 8 sweats of different sizes can be distributed among 8 persons of different ages so that the largest sweat always goes to be younger assuming that each one of them gets a sweat is?
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Problem: The number of ways in which 8 sweaters of different sizes can be distributed among 8 persons of different ages so that the largest sweater always goes to be younger assuming that each one of them gets a sweater is?
Solution:
Introduction: We need to find the number of ways in which 8 sweaters of different sizes can be distributed among 8 persons of different ages, with the condition that the largest sweater always goes to the youngest person.
Approach: To solve this problem, we can use the concept of permutations. Since each person must receive a sweater and the largest sweater always goes to the youngest person, we can consider the youngest person as fixed and distribute the remaining 7 sweaters among the remaining 7 people.
Step 1: Fix the youngest person
- The youngest person will receive the largest sweater.
Step 2: Distribute the remaining sweaters
- Now, we have 7 sweaters and 7 people remaining.
- We can distribute these sweaters among the remaining people in (7!) ways.
Step 3: Multiply the possibilities
- Since the youngest person can be any one of the 8 people, we need to multiply the number of possibilities in Step 2 by 8.
Step 4: Calculate the total number of ways
- The total number of ways in which the sweaters can be distributed is 8 * (7!) = 8 * 5040 = 40,320.
Conclusion: The number of ways in which 8 sweaters of different sizes can be distributed among 8 persons of different ages, with the condition that the largest sweater always goes to the youngest person, is 40,320.
Solution:
Introduction: We need to find the number of ways in which 8 sweaters of different sizes can be distributed among 8 persons of different ages, with the condition that the largest sweater always goes to the youngest person.
Approach: To solve this problem, we can use the concept of permutations. Since each person must receive a sweater and the largest sweater always goes to the youngest person, we can consider the youngest person as fixed and distribute the remaining 7 sweaters among the remaining 7 people.
Step 1: Fix the youngest person
- The youngest person will receive the largest sweater.
Step 2: Distribute the remaining sweaters
- Now, we have 7 sweaters and 7 people remaining.
- We can distribute these sweaters among the remaining people in (7!) ways.
Step 3: Multiply the possibilities
- Since the youngest person can be any one of the 8 people, we need to multiply the number of possibilities in Step 2 by 8.
Step 4: Calculate the total number of ways
- The total number of ways in which the sweaters can be distributed is 8 * (7!) = 8 * 5040 = 40,320.
Conclusion: The number of ways in which 8 sweaters of different sizes can be distributed among 8 persons of different ages, with the condition that the largest sweater always goes to the youngest person, is 40,320.
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The number of ways in which 8 sweats of different sizes can be distributed among 8 persons of different ages so that the largest sweat always goes to be younger assuming that each one of them gets a sweat is?
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The number of ways in which 8 sweats of different sizes can be distributed among 8 persons of different ages so that the largest sweat always goes to be younger assuming that each one of them gets a sweat is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The number of ways in which 8 sweats of different sizes can be distributed among 8 persons of different ages so that the largest sweat always goes to be younger assuming that each one of them gets a sweat is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of ways in which 8 sweats of different sizes can be distributed among 8 persons of different ages so that the largest sweat always goes to be younger assuming that each one of them gets a sweat is?.
The number of ways in which 8 sweats of different sizes can be distributed among 8 persons of different ages so that the largest sweat always goes to be younger assuming that each one of them gets a sweat is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The number of ways in which 8 sweats of different sizes can be distributed among 8 persons of different ages so that the largest sweat always goes to be younger assuming that each one of them gets a sweat is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of ways in which 8 sweats of different sizes can be distributed among 8 persons of different ages so that the largest sweat always goes to be younger assuming that each one of them gets a sweat is?.
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