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?

i) 105

ii) 56

iii) 210

iv) 28

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?

i) 105

ii) 56

iii) 210

iv) 28

7/15 * 8/14 = .27 ?c) What is the probability that a randomly chosen president is female and a randomly chosen secretary is male?

i) .50

ii) .53

iii) .13

iv) .27

15 choose 3 = 455 ?d) How may ways are there to choose a president, secretary and treasurer?

i) 455

ii) 448

iii) 2730

iv) 392

No clue XDe) How many ways are there to choose a president, secretary and treasurer so that two are male and one is female?

i) 1176

ii) 392

iii) 98

iv) 196

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?

i) .43

ii) .07

iii) .14

iv) .21