You have a group of 40 people. You need to pick 20 in order to form a committee. How many different ways can you do this?

We use this formula:

n! / r! * (n-r)!

where we are choosing "r" elements from a larger set of "n" elements

40! / 20! * (40-20)!  =

40! / 20! * 20! =

40*39*38*37*36*35*... 20! / (20! * 20!) =

40*39*38*37*36*35*34*33*32*31*30*29*28*27*26*25*24*23*22*21*20! ALL divided by (20! * 20!) =

40*39*38*37*36*35*34*33*32*31*30*29*28*27*26*25*24*23*22*21 / 20!

=335,367,096,786,357,000,000,000,000,000  / 2,432,902,008,176,640,000

which equals

137,846,528,820 totally different ways

Step-by-step explanation:

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step-by-step explanation: