2. four pieces of candy are drawn at random from a bag containing five orange pieces and seven brown pieces.
a. how many different ways can four pieces be selected from the 12 colored pieces?
b. how many different ways can two orange pieces be selected from five orange pieces?
c. how many different ways can two brown pieces be selected from seven brown pieces?

a) ways

b) ways

c) ways

Step-by-step explanation:

Combinatory means combination or arrangement of different elements.

If we have n total elements and we want to find in how many ways we can select x we can use this general formula:

Where

a. How many different ways can four pieces be selected from the 12 colored pieces?

For this case we have:

ways

b. How many different ways can two orange pieces be selected from five orange pieces?

For this case we have:

ways

c. How many different ways can two brown pieces be selected from seven brown pieces?

For this case we have:

ways

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.