143 employees
Because
4 to 7 means that for every 4 men, there is 7 women.
To figure this out I first divided 52 by 4
52÷4=13
I then multiplied this number by 7
13×7=91
Now knowing there are 91 women I added them together
91+52=143
Slot A = chairperson position
Slot B = secretary position
Slot C = treasurer position
There are 9 choices for slot A. After picking that person, there are 8 choices for slot B. Then 7 choices for slot C
Multiply those values out: 9*8*7 = 72*7 = 504
There are 504 ways to pick three people from a pool of nine.
Answer: 504
Note: order matters so this is a permutation. You can use the nPr permutation formula with n = 9 and r = 3 to get the same answer
OptionC is the answer..!!
Hope this helps you!!!