SOLUTION: In a class of 25, How many ways can a group of five students be selected?
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Question 453172: In a class of 25, How many ways can a group of five students be selected?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since order does not matter, we must use the combination formula:
Start with the given formula
Plug in and
Subtract to get 20
Expand 25!
Expand 20!
Cancel
Simplify
Expand 5!
Multiply 25*24*23*22*21 to get 6,375,600
Multiply 5*4*3*2*1 to get 120
Now divide
So 25 choose 5 (where order doesn't matter) yields 53,130 unique combinations
So there are 53,130 different ways to form a group of 5 people.
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