IlhamTriAdilirio3
IlhamTriAdilirio3 IlhamTriAdilirio3
  • 06-06-2017
  • Mathematics
contestada

How many different ways when we take 7 numbers from 49 Lottery numbers, and from 7 of these numbers there are 3 correct numbers? (kombination)

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mreijepatmat
mreijepatmat mreijepatmat
  • 08-06-2017
⁴⁹C₇ = 85,900,584 this is the total ways if we select 7 numbers out of 49.

among that number only 3 are correct, so ⁷C₃ = 35 are correct

If ⁷C₃ are correct, means the remaining incorrect are ⁽⁴⁹⁻⁷⁾C₄ =⁴²C₄
And the total ways of getting 3 correct numbers is :

⁷C₃ x ⁴²C₄ = 3,917,550
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