Answer:
Hello,
Step-by-step explanation:
0 girls and 8 boys :
![\left(\begin{array}{c}10\\ 8\end{array}\right)=10*9*8*7*6*5*4*3/8!=45\\\\](https://tex.z-dn.net/?f=%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D10%5C%5C%208%5Cend%7Barray%7D%5Cright%29%3D10%2A9%2A8%2A7%2A6%2A5%2A4%2A3%2F8%21%3D45%5C%5C%5C%5C)
1 girl and 7 boys:
![\left(\begin{array}{c}6\\ 1\end{array}\right)*\left(\begin{array}{c}10\\7\end{array}\right)=6*10*9*...*4/7!=6*120=720\\\\](https://tex.z-dn.net/?f=%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D6%5C%5C%201%5Cend%7Barray%7D%5Cright%29%2A%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D10%5C%5C7%5Cend%7Barray%7D%5Cright%29%3D6%2A10%2A9%2A...%2A4%2F7%21%3D6%2A120%3D720%5C%5C%5C%5C)
2 girl and 6 boys:
![\left(\begin{array}{c}6\\ 2\end{array}\right)*\left(\begin{array}{c}10\\6\end{array}\right)=60*210=1260\\](https://tex.z-dn.net/?f=%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D6%5C%5C%202%5Cend%7Barray%7D%5Cright%29%2A%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D10%5C%5C6%5Cend%7Barray%7D%5Cright%29%3D60%2A210%3D1260%5C%5C)
3 girl and 5 boys:
![\left(\begin{array}{c}6\\ 3\end{array}\right)*\left(\begin{array}{c}10\\5\end{array}\right)\\](https://tex.z-dn.net/?f=%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D6%5C%5C%203%5Cend%7Barray%7D%5Cright%29%2A%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D10%5C%5C5%5Cend%7Barray%7D%5Cright%29%5C%5C)
4 girls and 4 boys:
![\left(\begin{array}{c}6\\ 4\end{array}\right)*\left(\begin{array}{c}10\\4\end{array}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D6%5C%5C%204%5Cend%7Barray%7D%5Cright%29%2A%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D10%5C%5C4%5Cend%7Barray%7D%5Cright%29)
5 girls and 3 bys:
![\left(\begin{array}{c}6\\ 5\end{array}\right)*\left(\begin{array}{c}10\\3\end{array}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D6%5C%5C%205%5Cend%7Barray%7D%5Cright%29%2A%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D10%5C%5C3%5Cend%7Barray%7D%5Cright%29)
I let you to calculate and make the sum.
Answer:
c
Step-by-step explanation:
The median is half the sum of the parallel bases, that is
UV = ![\frac{BC+AD}{2}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%2BAD%7D%7B2%7D)
3 + 20x =
( multiply both sides by 2 to clear the fraction )
6 + 40x = 15 + 31x ( subtract 31x from both sides )
6 + 9x = 15 ( subtract 6 from both sides )
9x = 9 ( divide both sides by 9 )
x = 1
Then
UV = 3 + 20x = 3 + 20(1) = 3 + 20 = 23 → c
Answer:
Rs. 4,444
Step-by-step explanation:
Let her pocket money be represented as A
She spent 25% of A on her clothes and 11% on shoes and then saved Rs. 1600
Total percentage spent = 25 + 11 = 36%
So, she spent 36% of A and was left with Rs. 1600
This can be represented by the equation below
36% of A = 1600
36/100 x A = 1600
0.36 x A = 1600
Divide both sides by 0.36
0.36/0.36 A = 1600/0.36
A = 4444.44
A = Rs. 4,444
Her pocket money was approximately Rs. 4,444
Answer:
-27
Step-by-step explanation:
Any operations inside parentheses must be carried out first.
Thus,
9 ÷ 3[(20 − 7) − 22] becomes 9 ÷ 3[(13) − 22]
This, in turn, becomes 9 ÷ 3[-9].
The negative operator can be taken out and written up front: -9 ÷ 3[9) Note: this does not call for subtraction).
Carrying out the indicated operations from left to right:
-3(9) = -27