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BITSAT2024MathematicsPermutation and CombinationActual

A person invites a party of 10 friends at dinner and place so that 4 are on one round table and 6 on the other round table. Total number of ways in which he can arrange the guests is

Options

  1. A10! 6!
  2. B10! 24
  3. C9! 24
  4. DNone of these

Correct answer

B. 10! 24

Step-by-step solution

Total person =10 Two groups are formed containing 4 and 6 persons. Total ways of formation of groups = 10! 4!6! Now, 4 persons can be arranged on round table =(4-1)!=3! and 6 persons can be arranged on round table =(6-1) ! =5! Total ways of arranging the guest = 10! 4!6! 3! 5!= 10! 24

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