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In how many ways can 6 girls be seated in 2 empty chairs
- a)10
- b)15
- c)24
- d)30
Correct answer is option 'D'. Can you explain this answer?
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In how many ways can 6 girls be seated in 2 empty chairsa)10b)15c)24d)...
Problem: In how many ways can 6 girls be seated in 2 empty chairs?
Solution:
There are 6 girls and 2 empty chairs, we need to find the number of ways they can be seated.
We can solve this problem using combinations.
- Step 1: Select 2 girls from 6 girls to fill the 2 empty chairs. This can be done in C(6,2) ways.
- Step 2: Seat the selected 2 girls in the 2 empty chairs. This can be done in 2! = 2 ways.
- Step 3: Seat the remaining 4 girls in the remaining 4 chairs. This can be done in 4! = 24 ways.
Total number of ways = C(6,2) * 2! * 4! = 15 * 2 * 24 = 720
Therefore, the correct answer is option (d) 30.
Note: The order in which the girls are seated in the chairs does not matter, so we multiply the combinations by the number of ways the selected girls can be seated and the remaining girls can be seated.
Solution:
There are 6 girls and 2 empty chairs, we need to find the number of ways they can be seated.
We can solve this problem using combinations.
- Step 1: Select 2 girls from 6 girls to fill the 2 empty chairs. This can be done in C(6,2) ways.
- Step 2: Seat the selected 2 girls in the 2 empty chairs. This can be done in 2! = 2 ways.
- Step 3: Seat the remaining 4 girls in the remaining 4 chairs. This can be done in 4! = 24 ways.
Total number of ways = C(6,2) * 2! * 4! = 15 * 2 * 24 = 720
Therefore, the correct answer is option (d) 30.
Note: The order in which the girls are seated in the chairs does not matter, so we multiply the combinations by the number of ways the selected girls can be seated and the remaining girls can be seated.
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In how many ways can 6 girls be seated in 2 empty chairsa)10b)15c)24d)30Correct answer is option 'D'. Can you explain this answer?
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In how many ways can 6 girls be seated in 2 empty chairsa)10b)15c)24d)30Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about In how many ways can 6 girls be seated in 2 empty chairsa)10b)15c)24d)30Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can 6 girls be seated in 2 empty chairsa)10b)15c)24d)30Correct answer is option 'D'. Can you explain this answer?.
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