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a class of 20 students is divided into two groups of 10 and then each group is lined up in a particular order. how many ways are there to divide the class and line up the groups?

Sagot :

There are ²⁰С₁₀ × 10!  × 10! ways to divide the class and line up the groups.

Number of students in the class = 20

Selection of group one = ²⁰С₁₀ ways

Selection of group two = 1 way

Number of ways to arrange 10 students in a group = 10!

So, Total number of ways = ²⁰С₁₀ × 10!  × 10! ways.

Hence there are  ²⁰С₁₀  × 10!  × 10! ways to divide the class and line up the groups.

To understand more about permutations and combinations refer -

https://brainly.com/question/11732255

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