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In a camp, food is distributed to each person. In a day, the camp has 27 packets of rice 54 packets of biscuits, and 81 bottles of water. What is maximum possible number of people in the camp if each person gets the exact same combination of the three items and no item is wasted?
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In a camp, food is distributed to each person. In a day, the camp has ...
Problem: Find the maximum possible number of people in the camp if each person gets the exact same combination of 27 packets of rice, 54 packets of biscuits, and 81 bottles of water, and no item is wasted.
Solution:
To solve this problem, we need to find out how many combinations of rice, biscuits, and water we can make with the given items. Then, we can divide the items equally among the people in the camp to find the maximum number of people.
Step 1: Find the number of combinations of rice, biscuits, and water.
We can use the formula for finding combinations to calculate the number of combinations of rice, biscuits, and water.
Number of combinations = (n + r - 1) C (r - 1)
where n is the total number of items, and r is the number of items in a combination.
Using this formula, we can find the number of combinations of rice, biscuits, and water as follows:
Number of combinations of rice = (27 + 3 - 1) C (3 - 1) = 351
Number of combinations of biscuits = (54 + 3 - 1) C (3 - 1) = 1485
Number of combinations of water = (81 + 3 - 1) C (3 - 1) = 3240
Therefore, the total number of combinations = 351 x 1485 x 3240 = 1,705,858,400
Step 2: Divide the items equally among the people.
To find the maximum number of people in the camp, we need to divide the items equally among them. Since there are three items, each person will get one combination of rice, biscuits, and water.
Dividing the total number of combinations by 3 (for each person) gives:
1,705,858,400 / 3 = 568,619,466.67
Therefore, the maximum possible number of people in the camp is 568,619,466.67. However, since the number of people must be a whole number, we need to round down to the nearest integer.
Answer: The maximum possible number of people in the camp is 568,619,466.
Solution:
To solve this problem, we need to find out how many combinations of rice, biscuits, and water we can make with the given items. Then, we can divide the items equally among the people in the camp to find the maximum number of people.
Step 1: Find the number of combinations of rice, biscuits, and water.
We can use the formula for finding combinations to calculate the number of combinations of rice, biscuits, and water.
Number of combinations = (n + r - 1) C (r - 1)
where n is the total number of items, and r is the number of items in a combination.
Using this formula, we can find the number of combinations of rice, biscuits, and water as follows:
Number of combinations of rice = (27 + 3 - 1) C (3 - 1) = 351
Number of combinations of biscuits = (54 + 3 - 1) C (3 - 1) = 1485
Number of combinations of water = (81 + 3 - 1) C (3 - 1) = 3240
Therefore, the total number of combinations = 351 x 1485 x 3240 = 1,705,858,400
Step 2: Divide the items equally among the people.
To find the maximum number of people in the camp, we need to divide the items equally among them. Since there are three items, each person will get one combination of rice, biscuits, and water.
Dividing the total number of combinations by 3 (for each person) gives:
1,705,858,400 / 3 = 568,619,466.67
Therefore, the maximum possible number of people in the camp is 568,619,466.67. However, since the number of people must be a whole number, we need to round down to the nearest integer.
Answer: The maximum possible number of people in the camp is 568,619,466.
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In a camp, food is distributed to each person. In a day, the camp has 27 packets of rice 54 packets of biscuits, and 81 bottles of water. What is maximum possible number of people in the camp if each person gets the exact same combination of the three items and no item is wasted?
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In a camp, food is distributed to each person. In a day, the camp has 27 packets of rice 54 packets of biscuits, and 81 bottles of water. What is maximum possible number of people in the camp if each person gets the exact same combination of the three items and no item is wasted? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about In a camp, food is distributed to each person. In a day, the camp has 27 packets of rice 54 packets of biscuits, and 81 bottles of water. What is maximum possible number of people in the camp if each person gets the exact same combination of the three items and no item is wasted? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a camp, food is distributed to each person. In a day, the camp has 27 packets of rice 54 packets of biscuits, and 81 bottles of water. What is maximum possible number of people in the camp if each person gets the exact same combination of the three items and no item is wasted?.
In a camp, food is distributed to each person. In a day, the camp has 27 packets of rice 54 packets of biscuits, and 81 bottles of water. What is maximum possible number of people in the camp if each person gets the exact same combination of the three items and no item is wasted? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about In a camp, food is distributed to each person. In a day, the camp has 27 packets of rice 54 packets of biscuits, and 81 bottles of water. What is maximum possible number of people in the camp if each person gets the exact same combination of the three items and no item is wasted? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a camp, food is distributed to each person. In a day, the camp has 27 packets of rice 54 packets of biscuits, and 81 bottles of water. What is maximum possible number of people in the camp if each person gets the exact same combination of the three items and no item is wasted?.
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