PLEASE HELP ME IF YOU CAN!


Many states use a lottery such as Powerball®. Game tickets select 5
white balls numbered from 1 to 69 and one red ball numbered from
1 to 26. Suppose a person wanted to purchase a lottery ticket every minute, each one with a new combination of numbers. At that rate, how many days would it take to purchase all possible ticket combinations?

Respuesta :

Answer:

292,201,338 would be the answer to your question

Number of days purchase all possible ticket is 292,201,338

Given:

Number of white ball selected = 5

Total number of ball = 69

Number of red ball = 26

Find:

Number of days purchase all possible ticket

Computation:

Number of days purchase all possible ticket = ⁶⁹C₅ × ²⁶C₁

Number of days purchase all possible ticket = [69! / (5!64!)]26

Number of days purchase all possible ticket = [69 × 68 × 67 × 66 × 65 × 26] / [5 × 4 × 3 × 2 × 1]

Number of days purchase all possible ticket = 292,201,338

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