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A tea party is arranged for 16 people along two sides of a long table with eight chairs on each side. Four particular men wish to sit on one particular side and two particular men on the other side. The number of ways they can be seated is
  • a)
    24 × 8! × 8!
  • b)
    (8!)3
  • c)
    210 × 8! × 8!
  • d)
    16!
Correct answer is option 'C'. Can you explain this answer?
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A tea party is arranged for 16 people along two sides of a long table ...
To find the number of ways the men can be seated, we will consider the arrangements for each side separately.

For the side with the four particular men, we can arrange them in 4! = 24 ways.

For the other side with the two particular men, we can arrange them in 2! = 2 ways.

Since the arrangements for each side are independent, we can multiply the number of ways for each side together to find the total number of ways they can be seated:

24 * 2 = 48

Therefore, the number of ways the men can be seated is 48.
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A tea party is arranged for 16 people along two sides of a long table with eight chairs on each side. Four particular men wish to sit on one particular side and two particular men on the other side. The number of ways they can be seated isa)24 × 8! × 8!b)(8!)3c)210 × 8! × 8!d)16!Correct answer is option 'C'. Can you explain this answer?
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