Ihave a car dealership employing 4 mechanics. i received 20 cars to repair today. how many possible ways can i assign the cars to the mechanics?

We are given that car dealership employed 4 mechanics. and 20 cars came there.

That means each employee should handle

Which means we need to choose 5 cars from 20 cars first . For that we need to use combinations since order in which car is given to mechanic does not matter.

Hence number of ways = = =  15504 ways of allocating.

the first one, all those points on the line just make a strait line.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."