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In a group of boys the number of arrangement of 4 boys is 12 times the number of arrangements of 2 boys. The number of boys in the group is?
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In a group of boys the number of arrangement of 4 boys is 12 times the...
Number of Boys in the Group
There are a total of x boys in the group.
Given Information
- Number of arrangements of 4 boys = 12 times the number of arrangements of 2 boys
- This can be mathematically expressed as:
xC4 = 12 * xC2
x! / (4! * (x-4)!) = 12 * x! / (2! * (x-2)!)
Solving the Equation
- Simplifying the equation, we get:
x(x-1)(x-2)(x-3) / 24 = 12 * x(x-1) / 2
(x-2)(x-3) = 12
- The possible values for x can be found by trial and error.
- We find that x = 6 satisfies the equation:
(6-2)(6-3) = 4 * 3 = 12
Therefore, the number of boys in the group is 6.
There are a total of x boys in the group.
Given Information
- Number of arrangements of 4 boys = 12 times the number of arrangements of 2 boys
- This can be mathematically expressed as:
xC4 = 12 * xC2
x! / (4! * (x-4)!) = 12 * x! / (2! * (x-2)!)
Solving the Equation
- Simplifying the equation, we get:
x(x-1)(x-2)(x-3) / 24 = 12 * x(x-1) / 2
(x-2)(x-3) = 12
- The possible values for x can be found by trial and error.
- We find that x = 6 satisfies the equation:
(6-2)(6-3) = 4 * 3 = 12
Therefore, the number of boys in the group is 6.
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In a group of boys the number of arrangement of 4 boys is 12 times the number of arrangements of 2 boys. The number of boys in the group is?
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In a group of boys the number of arrangement of 4 boys is 12 times the number of arrangements of 2 boys. The number of boys in the group 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 In a group of boys the number of arrangement of 4 boys is 12 times the number of arrangements of 2 boys. The number of boys in the group is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a group of boys the number of arrangement of 4 boys is 12 times the number of arrangements of 2 boys. The number of boys in the group is?.
In a group of boys the number of arrangement of 4 boys is 12 times the number of arrangements of 2 boys. The number of boys in the group 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 In a group of boys the number of arrangement of 4 boys is 12 times the number of arrangements of 2 boys. The number of boys in the group is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a group of boys the number of arrangement of 4 boys is 12 times the number of arrangements of 2 boys. The number of boys in the group is?.
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