Answer:
576 ways
Step-by-step explanation:
There are 4 choices for the column of pawn in the 1st row
There are 3 choices for the column of pawn in the 2nd row,
There are 2 choices for the column of pawn in the 3rd row, and
There is 1 choice for the column of the pawn in the 4th row
Which gives a total of 4! = 24
Also, the pawns are distinct, so there are 4! ways to place them in these chosen positions;
4! = 24
So, there are 24 * 24 possible ways
= 576 ways
Answer:
Option (3)
Step-by-step explanation:
w = ![\frac{\sqrt{2}}{2}[\text{cos}(225) + i\text{sin}(225)]](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%5B%5Ctext%7Bcos%7D%28225%29%20%2B%20i%5Ctext%7Bsin%7D%28225%29%5D)
Since, cos(225) = cos(180 + 45)
= -cos(45) [Since, cos(180 + θ) = -cosθ]
= -
sin(225) = sin(180 + 45)
= -sin(45)
= -
Therefore, w = ![\frac{\sqrt{2}}{2}[-\frac{\sqrt{2}}{2}+i(-\frac{\sqrt{2}}{2})]](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%5B-%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%2Bi%28-%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%29%5D)
= 
= 
z = 1[cos(60) + i(sin(60)]
= 
= 
Now (w + z) = 
= 
= 
= 
Therefore, Option (3) will be the correct option.
PEMDAS
the first thing is multiply or distribute
a(b+c)=ab+ac
8(t+2)=8t+16
-3(t-4)=-3t+12
6(t-7)=6t-42
the equation comes out to
8t+16-3t+12=6t-42+8
add like terms
5t+28=6t-34
subtract 5t from both sides
28=t-34
add 34 to both sides
62=t