Please show the work process so I can learn how to do it Tha

Please show the work process so I can learn how to do it. Thank you so much.

6. A shirt company has 4 designs that can be made with short or long sleeves, there are 7 color patterns available. How many different types of shirts are available from this company?

A) 11 types           B) 56 types           C) 28 types           D) 13 types

7. At the first tri-city meeting, there were 8 people from town A, 7 people from town B, and 5 people from town C. If the council consists of 5 people, find the probability of 3 from town A and 2 from town B.

A) 0.036        B) 0.072        C) 0.023        D) 0.076

8. Tasha borrowed $12,000 to purchase a new car at an annual interest rate of 6.1%. She is to pay it back in equal monthly payments over a 3 year period. What is her monthly payment?

A) $365.61           B) $61.00             C) $432.26            D) $20.33

Solution

6) the shirt company has 4 designs and 7 color patterns available.

    and two types i,e:short and long.

    then total different types of shirts are available from this company is:4*7*2=56 types

7)At the first tri-city meeting, there were 8 people from town A,

   7 people from town B,

    and 5 people from town C. If the council consists of 5 people,

    Then select 3 from town 8 in (A) and 2 from town 7 in (B).

    total people from A,B,C:8+7+5=20

    First:select one from A:8/20

      and select secon people from A:7/19

      and select third one from A:6/18.

Later select one from B:7/17

        and select second one from B:6/16.

      Finally, totally the 1st town A person: 3   and the 2nd town B person: 2 fron total try citys:

               8/20x7/19x6/18x7/17x6/16
        =14112/1860480.

   which equals 0.007585, or 0.76%

8)Tasha borrowed $12,000 to purchase a new car at an annual interest rate of 6.1%.

   then interest amount per year is:PTR/100

                             =(12000)*(1)*(6.1)/100

                              =732

   then interest amount per for second year is:PTR/100

                             =(12000-4000)*(1)*(6.1)/100

                            =488.

then interest for third year is:PTR/100

                             =(12000-8000)*(1)*(6.1)/100

                             =244

so, total interest amount is:732+488+244=1468

           then total to pay is:12000+1468=13468

      Total monthly paments over a 3 year period is:3*12=36.

        then her monthly payment is:$13468/36=$365.61

She is to pay it back in equal monthly payments over a 3 year period. What is her monthly payment