You are the 100th customer to enter a video store, and you are entitled to a prize of 3 video games. you have 15 games to choose from, and they must be chosen at random.

what is the total number of possible outcomes?

The total number of possible outcomes = 455

Step-by-step explanation:

Given:

Total number of games = 15

Number of games to be chosen = 3

The total number of ways in which the 3 games out  of 15 be choosen can be given by:

where represents total number of games and

represents the number of choices to be made.

Plugging in the known values:

⇒

⇒  

⇒ [Canceling out the common terms]

⇒

⇒

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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step-by-step explanation: