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Use the Counting Principle to find the probability of choosing the 6 winning lottery numbers when the numbers are chosen at random from 0 to 9.

Respuesta :

wolf1728

Answer:

How many ways can 6 numbers be chosen from 10?

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

combinations = 10! / (6! * 4!)

combinations = 10 * 9 * 8 * 7 * 6! / (6! * 4!)

combinations = 10 * 9 * 8 * 7 / 4 * 3 * 2* 1

combinations = 10 * 3 * 7

combinations = 210

So the probability is 1 / 210 or 0.0047619048



Step-by-step explanation:


tramserran

Answer: 210

Step-by-step explanation:

choose 6 numbers out of 10:

₁₀C₆ = [tex]\frac{10!}{(10-6)!(6)!}[/tex]

       = [tex]\frac{10*9*8*7*6!}{(4)!(6)!}[/tex]

       = [tex]\frac{10*9*8*7}{(4)!}[/tex]

       = [tex]\frac{10*9*8*7}{4*3*2}[/tex]

       = 10 * 3 * 7

        = 210


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