A farmer wants to take 4 of his animals to a city. He has to select the animals  from 5 cows and 5 goats.  (a) How many possible selections can he make?  (b) In how many of these selections will there be more cows than goats?

(a) 210

(b) 55

Step-by-step explanation:

(a) I'm assuming the animals are considered to be unique rather than identical.  The order of the animals isn't important, so the number of ways he can choose 4 animals from 10 is:

₁₀C₄ = 210

(b) If there are more cows than goats, then there are either 3 cows and 1 goat:

₅C₃ ₅C₁ = 50

Or there are 4 cows:

₅C₄ = 5

The total number of combinations is 55.

it would be:

c.parallelogram.

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: