Tiga pasang suami istri duduk berdampingan pada satu baris. Jika setiap pasang suami istri harus duduk berdampingan, maka banyak cara mereka duduk adalah …
Q. Tiga pasang suami istri duduk berdampingan pada satu baris. Jika setiap pasang suami istri harus duduk berdampingan, maka banyak cara mereka duduk adalah …
Calculate Units Arrangement: First, treat each couple as a single unit since they have to sit together. So, we have 3 units to arrange.Calculate the number of ways to arrange these 3 units: 3!=3×2×1=6.
Calculate Couple Arrangement: Now, within each unit (couple), there are 2 people who can switch places. So for each couple, there are 2! ways to arrange them.Calculate the number of ways to arrange each couple: 2!=2×1=2.
Calculate Total Arrangements: Since there are 3 couples, and each couple can be arranged in 2 ways, multiply the number of arrangements for each couple: 2×2×2=23=8.
Multiply Total Arrangements: Finally, multiply the number of ways to arrange the 3 units (couples) by the number of ways to arrange the people within each unit.Calculate the total number of arrangements: 6 (ways to arrange units) ×8 (ways to arrange people within units) =48.
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