<h3>
Answer: 10,080</h3>
Explanation:
There are 8 letters so there are 8! = 8*7*6*5*4*3*2*1 = 40,320 permutations of those letters. However, the letters "O" and "L" show up twice each, so we must divide by 2! = 2*1 = 2 for each instance this happens.
So,
(8!)/(2!*2!) = (40,320)/(2*2) = (40,320)/4 = 10,080
is the number of ways to arrange the letters of "football".
The reason we divide by 2 for each instance of a duplicate letter is because we can't tell the difference between the two "O"s or the two "L"s. If there was a way to distinguish between them, then we wouldnt have to divide by 2.
15^2 + 36^2 = 39^2
Your answer is 39
(1, 3) represent a solution to the equation.
Answer:
3(-x^2-6x+4)
Step-by-step explanation:
-3x^2 - 18x + 12
-3x^2 - (2 x 3^2) x + 2^2 x 3
3 (-3x^2 over 3 - 2x3^2 times x over 3 + 262 x 3 over 3)
3(-(x^2) - (2 x 3^2-1 times x) +2^2
3(-x^2 - (2 times 3x) +4)
3(-x^2-(6x) + 4)
3(-x^2 - 6x + 4)
