The number y, decreased by 12
Answer:
Height of parallelogram = 5.07 inches
Step-by-step explanation:
We are given Area of Parallelogram = 32 in^2
Height of Parallelogram = ?
Base of Parallelogram = 6.3 in
The formula to find the Area of Parallelogram is:
Area of Parallelogram = Base * Height
32 = 6.3 * Height
=> Height = 32/6.3
=> Height = 5.07 inches
So, height of parallelogram = 5.07 inches
solution:
I choose 5 women from a pool of 10 in 10C2 ways.
I choose 5 men from a pool of 12 in 12C2 ways.
So total number of ways of choosing in 10C2 x 12C2. Now I need to arrange them in 5 pairs. This is where I have a different solution. The solution says that there are 5! ways to arrange them in pairs.
But I cant seem to understand why? My reasoning is that for first pair position I need to choose 1 man from 5 and 1 woman from 5. So for the first position I have 5 x 5 choices (5 for man and 5 for woman). Similarly for the second position I have 4 x 4 choices and so on. Hence the total ways are 5! x 5!
So I calculate the total ways as 10C2 * 12C2 * 5! * 5!. Can anyone point the flaw in my reasoning for arranging the chosen men and women in pairs.
1/4=2/8
7/8-2/8=5/8
so 5/8 foot of the board is left
