US Bureau of the Census data reveal the town of Smallville O

U.S. Bureau of the Census data reveal the town of Smallville, OH has a population of 10 families. These families own the following:

Family             X₁        X₂        X₃        X₄        X₅        X₆        X₇        X₈        X₉        X₁₀

Autos               4          5          3          2          2          3          3          1          4          3

TVs                  4          4          5          3          3          4          5          5          4          3

1) If three different families are randomly selected by the IRS for audit of their Federal Income tax return, calculate the number of different possible audit groups.

2) If two different families are randomly selected by the local supermarket to win a 1^st prize or 2^nd prize, calculate the number of different possible ways to award the prizes.

Solution

SOLUTION
The following data for 10 families is given as follows :-

Sl.NO
1
2
3
4
5
6
7
8
9
10
Total

Autos
4
5
3
2
2
3
3
1
4
3
30

Sq of
Arranged
(Auto data
Auto - Mean Mean)
1
1
1
2
2
4
2
0
0
3...