Romerocristine12idn
Answered

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3. In how many ways can 5 women and 3 men be arranged in a row if no two men are standing next to one other?
4. In how many different ways that a family of 5 can be seated around a circular table with 5 chairs? ​

Sagot :

Mochiisannidn

Answer:

3. In how many ways can 5 women and 3 men be arranged in a row if no two men are standing next to one other?

  • Then 3 men sit on the 5 space generated between the women which can be done in 5P3 ways
  • Then 3 men sit on the 5 space generated between the women which can be done in 5P3 waysHence total number of ways is = 4! × 5P3 = 24 × 60 = 1440 ways

4. In how many different ways that a family of 5 can be seated around a circular table with 5 chairs?

  • Answer: If the symmetry of the table is not taken into account the number of possibilities is 5! = 120.
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