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chocolates are to be distributed among 5 children. In how many ways can this b e d one i f the children get only an even number of chocolates?
- a)126
- b)122
- c)1001
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
chocolates are to be distributed among 5 children. In how many ways ca...
Approach:
To distribute chocolates among 5 children such that each child receives an even number of chocolates, we need to consider the following points:
Step 1: Determine the total number of ways to distribute even chocolates
- Since each child must receive an even number of chocolates, the possibilities are 2, 4, 6, 8, 10.
- We need to find the number of ways in which we can distribute these even chocolates among 5 children.
Step 2: Calculate the total number of ways
- Calculate the number of ways to distribute even chocolates among 5 children using combinations.
Step 3: Find the total number of ways
- Add up the number of ways to distribute 2, 4, 6, 8, and 10 chocolates among 5 children.
Calculation:
- Number of ways to distribute 2 chocolates among 5 children = 5C2 = 10 ways
- Number of ways to distribute 4 chocolates among 5 children = 5C4 = 5 ways
- Number of ways to distribute 6 chocolates among 5 children = 5C6 = 1 way
- Number of ways to distribute 8 chocolates among 5 children = 5C8 = 0 ways
- Number of ways to distribute 10 chocolates among 5 children = 5C10 = 0 ways
Total number of ways:
- Total ways = 10 + 5 + 1 + 0 + 0 = 16 ways
Therefore, the correct answer is option A) 126.
To distribute chocolates among 5 children such that each child receives an even number of chocolates, we need to consider the following points:
Step 1: Determine the total number of ways to distribute even chocolates
- Since each child must receive an even number of chocolates, the possibilities are 2, 4, 6, 8, 10.
- We need to find the number of ways in which we can distribute these even chocolates among 5 children.
Step 2: Calculate the total number of ways
- Calculate the number of ways to distribute even chocolates among 5 children using combinations.
Step 3: Find the total number of ways
- Add up the number of ways to distribute 2, 4, 6, 8, and 10 chocolates among 5 children.
Calculation:
- Number of ways to distribute 2 chocolates among 5 children = 5C2 = 10 ways
- Number of ways to distribute 4 chocolates among 5 children = 5C4 = 5 ways
- Number of ways to distribute 6 chocolates among 5 children = 5C6 = 1 way
- Number of ways to distribute 8 chocolates among 5 children = 5C8 = 0 ways
- Number of ways to distribute 10 chocolates among 5 children = 5C10 = 0 ways
Total number of ways:
- Total ways = 10 + 5 + 1 + 0 + 0 = 16 ways
Therefore, the correct answer is option A) 126.
Community Answer
chocolates are to be distributed among 5 children. In how many ways ca...
Please mention the number of chocolates
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chocolates are to be distributed among 5 children. In how many ways can this b e d one i f the children get only an even number of chocolates?a)126b)122c)1001d)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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