I'm doing an assignment for my stats class. It's about probability and combinations / permutations. Here's a question I'm having trouble with.
- The executive of an organization is to be selected from a group of 8 males and 7 females.15 choose 2 = 105 ?a) How many ways are there to choose the president and secretary?
Not sure at all how to approach this problem. Would 7 choose 1 * 8 choose 1 be valid?b) How many ways are there to have a female president and a male secretary?
7/15 * 8/14 = .27 ?c) What is the probability that a randomly chosen president is female and a randomly chosen secretary is male?
15 choose 3 = 455 ?d) How may ways are there to choose a president, secretary and treasurer?
No clue XDe) How many ways are there to choose a president, secretary and treasurer so that two are male and one is female?
Not sure what to do here, eitherf) What is the probability that a randomly chosen president, secretary and treasurer include two males and one female?