Question

question 1 (1 point) saved how many ways can 6 friends stand together in a line if tigger and roo must stand together? 5!2! 5! 2! 6!2!

Explanation:

Step1: Treat Tigger and Roo as a single unit

Since Tigger and Roo must stand together, we can consider them as one combined entity. So now we have 5 units to arrange (the Tigger - Roo unit and the other 4 friends). The number of ways to arrange 5 units is \(5!\).

Step2: Arrange Tigger and Roo within their unit

Within the Tigger - Roo unit, Tigger and Roo can be arranged in \(2!\) ways (Tigger first then Roo or Roo first then Tigger).

Step3: Use the multiplication principle

To find the total number of arrangements, we multiply the number of ways to arrange the 5 units by the number of ways to arrange Tigger and Roo within their unit. So the total number of ways is \(5!\times2!\).

Answer:

A. \(5!2!\)