SOLUTION: A club consists of 10 members. In how many different
ways can a group of 3 people be selected to go on a European
trip?
Algebra ->
Probability-and-statistics
-> SOLUTION: A club consists of 10 members. In how many different
ways can a group of 3 people be selected to go on a European
trip?
Log On
You can put this solution on YOUR website! Because you are "choosing" people to go on a trip and not to specific positions, this is a COMBINATION. The answer for choosing 3 people out of 10 is C(10,3). This can be calculated with an ordinary calculator (as simple as a TI30!), or by ordinary calculation.
The simple way to do this is to make a fraction whose numerator and denominator each have a product of 3 numbers. In the numerator start with 10 and count down 3 numbers. In the denominator start with 3 and count down to 1:
