SOLUTION: A group of History faculty at the local college consists of 8 women and 10 men. Four people are to be selected to go to a conference. In how many ways can four women be chosen f

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Question 1184531: A group of History faculty at the local college consists of 8 women and 10 men. Four people are to be selected to go to a conference.
In how many ways can four women be chosen from the group of 8 women (which means all in the group are women)?

How many different ways can a group of four people be selected from this group of 18?

What is the probability that all women will be chosen to attend the conference?
Enter a fraction or decimal (at least rounded to 4 decimal places).
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Straightforward applications of the definition of probability and the definition of "n choose r".... What is it about the problem you need help with?

(1) In how many ways can four women be chosen from the group of 8 women (which means all in the group are women)?
ANSWER: C%288%2C4%29

(2) How many different ways can a group of four people be selected from this group of 18?
ANSWER: C%2818%2C4%29

(3) What is the probability that all women will be chosen to attend the conference?
ANSWER: C%288%2C4%29%2FC%2818%2C4%29

Enter a fraction or decimal (at least rounded to 4 decimal places).

You can do the calculations....