Please help asap, Combinations :(

6 freshmen, 6 sophomores, 6 juniors, and 6 seniors are eligible to be on a committee.

In how many ways can a dance committee of 14 students be chosen if it is to consist of exactly 3 juniors and exactly 2 seniors, and the rest must be freshman or sophomores?

66000

Step-by-step explanation:

Total ways of selecting 2 seniors from 6 is 6C2

and Total ways of selecting 3 juniors from 6 is 6C3

ways of selecting rest 9 from 12 sopho or fresh is 12C9

now, total way of selection come to be

12C9×6C3×6C2

i.e, 220×20×15

i.e, 66000

- "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."