MATH SOLVE

4 months ago

Q:
# A group consists of seven men and seven women. Four people are selected to attend a conference.a. In how many ways can four people be selected from this group of fourteen?b. In how many ways can four women be selected from the seven women?c. Find the probability that the selected group will consist of all women.a. The number of ways to select four people from the group of fourteen is nothing.b. The number of ways to select four women from the group of seven women is nothing.c. The probability is nothing.(Type an integer or a simplified fraction.)

Accepted Solution

A:

Answer:1001,35,0.0350Step-by-step explanation:given that a group consists of seven men and seven women. Four people are selected to attend a conference.a) The number of ways to select four people from the group of fourteen is = [tex]14C4 = 1001[/tex]b) The number of ways to select four women from the group of seven women is=[tex]7C4 = 35[/tex]c) The probability of selecting all 4 women = [tex]\frac{35}{1001} \\=0.0350[/tex]