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A group for outdoor games has to be formed out of 10 kids (4 boys and 6 girls). If the group should have more than 2 kids and the number of boys and girls should be equal in the group, then how many groups are possible?
- a)235
- b)145
- c)215
- d)185
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A group for outdoor games has to be formed out of 10 kids (4 boys and ...
Explanation:
The possible cases can be:
- 4 boys and 4 girls
- 3 boys and 3 girls
- 2 boys and 2 girls
Ways of selecting of 4 boys out of 
Ways of selecting of 3 boys out of 
Ways of selecting of 2 boys out of 
Ways of selecting of 4 girls out of 
Ways of selecting of 3 girls out of 
Ways of selecting of 2 girls out of 
Total possible ways 
Most Upvoted Answer
A group for outdoor games has to be formed out of 10 kids (4 boys and ...
Understanding the problem:
In this problem, we need to form a group of 10 kids with 4 boys and 6 girls. The group should have more than 2 kids and the number of boys and girls should be equal.
Solution:
To form a group of 10 kids with 4 boys and 6 girls in a way that the number of boys and girls is equal, we can have 2 boys and 2 girls, 3 boys and 3 girls, or 4 boys and 4 girls in each group.
Calculating the number of groups:
1. For 2 boys and 2 girls:
- Number of ways to choose 2 boys out of 4 = 4C2 = 6 ways
- Number of ways to choose 2 girls out of 6 = 6C2 = 15 ways
- Total number of ways = 6 * 15 = 90 ways
2. For 3 boys and 3 girls:
- Number of ways to choose 3 boys out of 4 = 4C3 = 4 ways
- Number of ways to choose 3 girls out of 6 = 6C3 = 20 ways
- Total number of ways = 4 * 20 = 80 ways
3. For 4 boys and 4 girls:
- Number of ways to choose 4 boys out of 4 = 1 way
- Number of ways to choose 4 girls out of 6 = 6C4 = 15 ways
- Total number of ways = 1 * 15 = 15 ways
Total number of groups:
Adding up the number of groups for each case:
Total number of groups = 90 + 80 + 15 = 185
Therefore, the correct answer is option 'D' - 185.
In this problem, we need to form a group of 10 kids with 4 boys and 6 girls. The group should have more than 2 kids and the number of boys and girls should be equal.
Solution:
To form a group of 10 kids with 4 boys and 6 girls in a way that the number of boys and girls is equal, we can have 2 boys and 2 girls, 3 boys and 3 girls, or 4 boys and 4 girls in each group.
Calculating the number of groups:
1. For 2 boys and 2 girls:
- Number of ways to choose 2 boys out of 4 = 4C2 = 6 ways
- Number of ways to choose 2 girls out of 6 = 6C2 = 15 ways
- Total number of ways = 6 * 15 = 90 ways
2. For 3 boys and 3 girls:
- Number of ways to choose 3 boys out of 4 = 4C3 = 4 ways
- Number of ways to choose 3 girls out of 6 = 6C3 = 20 ways
- Total number of ways = 4 * 20 = 80 ways
3. For 4 boys and 4 girls:
- Number of ways to choose 4 boys out of 4 = 1 way
- Number of ways to choose 4 girls out of 6 = 6C4 = 15 ways
- Total number of ways = 1 * 15 = 15 ways
Total number of groups:
Adding up the number of groups for each case:
Total number of groups = 90 + 80 + 15 = 185
Therefore, the correct answer is option 'D' - 185.
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A group for outdoor games has to be formed out of 10 kids (4 boys and 6 girls). If the group should have more than 2 kids and the number of boys and girls should be equal in the group, then how many groups are possible?a)235b)145c)215d)185Correct answer is option 'D'. Can you explain this answer?
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A group for outdoor games has to be formed out of 10 kids (4 boys and 6 girls). If the group should have more than 2 kids and the number of boys and girls should be equal in the group, then how many groups are possible?a)235b)145c)215d)185Correct answer is option 'D'. Can you explain this answer? for Software Development 2024 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about A group for outdoor games has to be formed out of 10 kids (4 boys and 6 girls). If the group should have more than 2 kids and the number of boys and girls should be equal in the group, then how many groups are possible?a)235b)145c)215d)185Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Software Development 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A group for outdoor games has to be formed out of 10 kids (4 boys and 6 girls). If the group should have more than 2 kids and the number of boys and girls should be equal in the group, then how many groups are possible?a)235b)145c)215d)185Correct answer is option 'D'. Can you explain this answer?.
A group for outdoor games has to be formed out of 10 kids (4 boys and 6 girls). If the group should have more than 2 kids and the number of boys and girls should be equal in the group, then how many groups are possible?a)235b)145c)215d)185Correct answer is option 'D'. Can you explain this answer? for Software Development 2024 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about A group for outdoor games has to be formed out of 10 kids (4 boys and 6 girls). If the group should have more than 2 kids and the number of boys and girls should be equal in the group, then how many groups are possible?a)235b)145c)215d)185Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Software Development 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A group for outdoor games has to be formed out of 10 kids (4 boys and 6 girls). If the group should have more than 2 kids and the number of boys and girls should be equal in the group, then how many groups are possible?a)235b)145c)215d)185Correct answer is option 'D'. Can you explain this answer?.
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A group for outdoor games has to be formed out of 10 kids (4 boys and 6 girls). If the group should have more than 2 kids and the number of boys and girls should be equal in the group, then how many groups are possible?a)235b)145c)215d)185Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A group for outdoor games has to be formed out of 10 kids (4 boys and 6 girls). If the group should have more than 2 kids and the number of boys and girls should be equal in the group, then how many groups are possible?a)235b)145c)215d)185Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A group for outdoor games has to be formed out of 10 kids (4 boys and 6 girls). If the group should have more than 2 kids and the number of boys and girls should be equal in the group, then how many groups are possible?a)235b)145c)215d)185Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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