Apack of confectioneries contains candies in four (4) flavors (berry, lemon, orange and cacao), 3 pieces each. candies are distributed randomly in the pack. you draw the first three (3) pieces from the pack. what is the probability that they are all different flavors?

The probability is 0.4909

Step-by-step explanation:

The following equation for nCk give as the number of ways in which we can select k elements from a group of n elements:

Then, there are 220 ways in which we can select 3 candies from the 12 that are in the pack. It is calculated as:

On the other hand, there are 108 different ways to select the 3 candies in which they are all different flavors. It is calculated as:

4C3 * 3C1 * 3C1 * 3C1 = 108

Because, 4C3 give us the number of ways to select 3 flavors from the 4 flavors. From this 3 flavors selected, we are going to select one candie from each one, so we multiply 3 times by 3C1, one for each flavor.

Finally, the probability is the division between the number of ways in which we can select 3 candies with different flavors and the total number of ways in which we can select 3 candies from the 12 in the pack. This is:

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: