Please help solve this

(i) The value of is 1

(ii) The value of is 5040

Explanation:

(i)Given that the combination is

We need to evaluate the combination

The formula to find the combination is given by

Let us use this formula to evaluate

Thus, we have,

Simplifying, we have,

Cancelling the terms, we get,

Thus, the value of is 1

(ii) Also, given that the permutation

We need to evaluate the permutation

The formula to find the permutation is given by

Let us use this formula to evaluate

Thus, we have,

Simplifying, we get,

Expanding, we get,

Cancelling the common terms, we get,

simplifying, we get,

Thus, the value of is 5040

x=6 and x=3

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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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