contestada

There are fourteen juniors and twenty-three seniors in the Service Club. The
club is to send four representatives to the state conference.
a. How many different ways are there to select a group of four students to
attend the conference from the 37 Service Club members?
b. How many ways are there to select exactly two juniors?
c. How many ways are there to select exactly two seniors?
d. If the members of the club decide to send two juniors and two seniors, how many different groupings are possible?
e. What is the probability that two juniors and two seniors are selected to attend the conference?

Respuesta :

MathPhys

Answer:

a. 66,045

b. 91

c. 253

d. 23,023

e. 0.349

Step-by-step explanation:

Since the order isn't important, use combinations.

a. From 37 students, choose 4:

₃₇C₄ = 66,045

b. From 14 juniors, choose 2:

₁₄C₂ = 91

c. From 23 juniors, choose 2:

₂₃C₂ = 253

d. Multiply answers from b and c:

91 × 253 = 23,023

e. Divide answer from d by answer from a:

23,023 / 66,045 = 0.349

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