Answer:
15
Step-by-step explanation:
I beleive you just count the dots thats what i did
Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.
Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.
Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 .
Answer:
The solution to the system of equations is
Explanation:
Giving the system of equations:
To solve this, we need to first of all eliminate one variable from any two of the equations.
Subtracting (2) from twice of (1), we have:
Subtracting (3) from 3 times (1), we have
From (4) and (5), we can solve for y and z.
Subtract 5 times (5) from 3 times (4)
Using the value of z obtained in (5), we have
Using the values obtained for y and z in (1), we have