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How many ladies can be seated at a round table?

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How many ladies can be seated at a round table?

The number of ways in which 5 ladies and 7 gentlemen can be seated in a round table so that no two ladies sit together, is equal to: 7 gentlemen can be seated in (7-1)! = 6! Ways Now for 5 ladies to be seated at the table there are 7 P 5 ways.

How many ways can 5 men and 5 women sit together?

Since there are 5 men, there will be 5 gaps where 5 women can sit in 5!=120 ways. Hence, total number of arrangements of sitting of 5 men and 5 women with no two women can sit together is 24*120= 2880. Early symptoms of spinal muscular atrophy may surprise you.

How many ways of seat in NG 6 men & 5 women?

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Positions 1 to 11 from left to right. So Women sit in positions 2 4 6 8 10. Men sit in positions 1 3 5 7 9 11. Number of ways of seat in ng 6 Men & 5 Women = 6P6 × 5P5 = (6×5×4×3×2) × (5×4×3×2) = 720×120= 86,400 Answer.

How many ways can the three women be arranged among themselves?

The three woman can be arranged among themselves in 3! ways. According to Fundamental principle of counting, Total No of ways in which 4 men & 3 women can be seated around a round table such that women always sit together is 4! x 3! = 144 ways Since all women sit together, let us treat them as a single unit.

How many ways are there for 5 ladies to be seated?

Now for 5 ladies to be seated at the table there are 7 P 5 ways. Was this answer helpful? Thank you. Your Feedback will Help us Serve you better.

How many ways can you arrange 5 ladies in 7C5?

Now there are seven slots between these gentlemen where the five ladies must fit so that no two ladies sit together. The number of ways those five slots could be chosen out of 7 would be, 7C5 = 21. Those five ladies can then be arranged in those slots in 5! = 120 ways.

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How many ways can you arrange 5 women in 5 slots?

The number of ways those five slots could be chosen out of 7 would be, 7C5 = 21. Those five ladies can then be arranged in those slots in 5! = 120 ways. Thus the total number of ways in which the whole thing could be done is – 720*21*120 = 1814400.