Answer: 735,471
This is one number
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Work Shown:
[tex]_{n} C _{r} = \frac{n!}{r!*(n-r)!}\\\\_{24} C _{8} = \frac{24!}{8!*(24-8)!}\\\\_{24} C _{8} = \frac{24!}{8!*16!}\\\\_{24} C _{8} = \frac{24*23*22*21*20*19*18*17*16!}{8!*16!}\\\\_{24} C _{8} = \frac{24*23*22*21*20*19*18*17}{8!}\\\\_{24} C _{8} = \frac{24*23*22*21*20*19*18*17}{8*7*6*5*4*3*2*1}\\\\_{24} C _{8} = \frac{29,654,190,720}{40,320}\\\\_{24} C _{8} = 735,471\\\\[/tex]
We use the nCr combination formula because order doesn't matter.
