14 students have volunteered for a committee. eight of them are seniors and six of them are juniors.

(a) how many ways are there to select a committee of 5 students?

(b) how many ways are there to select a committee with 3 seniors and 2 juniors?

(c) suppose the committee must have five students (either juniors or seniors) and that one of the five must be selected as chair. how many ways are there to make the selection?

a) 2002, b) 840, c) 10010.

Step-by-step explanation:

Since we have given that

Number of students = 14

Number of students senior = 8

Number of students junior = 6

(a) How many ways are there to select a committee of 5 students?

Here, n = 14

r = 5

We will use "Combination" for choosing 5 students from 14 students.

(b) How many ways are there to select a committee with 3 seniors and 2 juniors?

Again we will use "combination":

(c) Suppose the committee must have five students (either juniors or seniors) and that one of the five must be selected as chair. How many ways are there to make the selection?

So, number of ways would be

Hence, a) 2002, b) 840, c) 10010.

for any of you who need the translation here it is

step-by-step explanation:

find the angular size of the equatorial radius of the earth, if the horizontal parallax of the sun

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !