How many different choices can you make?

Question

In state lottery game, you choose 6 different numbers from set of counting numbers 1-50. Order doesn’t matter. How many different choices can you make?

Answer 1

This is a combination problem. We are given a larger set of numbers and we are asked to choose a subset of 6 numbers. We can use the nCr function on the calculator, where n=50 and r=6. You can also use the formula below:

C(n,r)=(nr)=n! ÷ (r!(n−r)!)

50! ÷ (6!(50−6)!)

=15890700