There are 49 mice in a pet shop.

Question

30 mice are white.
27 mice are male.
18 mice have short tails.
8 mice are white and have short tails.
11 mice are male and have short tails.
7 mice are male but neither white nor short-tailed.
5 mice have all three characteristics and
2 have none.

Note:
W represents white mice
M represents male mice
A represents short-failed mice

I made a venn diagram but need help on the following:

1. n(M upside down u W)
2. n(M' U S)
3. P( both mice are short-tailed)

My teacher did not go over these notions so it would be helpful if you explain what it means and how you derive the numbers.....

Answer 1

1. 14
2. 7
3. 51/392