Suppose we want to choose 7 colors, without replacement, from 11 distinct colors. (a) How many ways can this be done, if the order of the choices is not taken into consideration?
0
(b) How many ways can this be done, if the order of the choices is taken into consideration?

(A) 1,663,200

(B)330

Step-by-step explanation:

(A) To do this you would just have to know the combimations formula which is and when you plug in the numbers you get which when simplified is which is 1,663,200

(B) To do this you would just have to know the permutation formula which is so if we plug in all of the numbers we would get then we can divide 7 from both sides so we get and when you simplify you get which when reduced is 330

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.