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?

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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answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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