Since we are trying to find the number of sequences can be made <em>without repetition</em>, we are going to use a combination.
The formula for combinations is:
- is the total number of elements in the set
- is the number of those elements you are desiring
Since there are 10 total digits, in this scenario. Since we are choosing 6 digits of the 10 for our sequence, in this scenario. Thus, we are trying to find . This can be found as shown:
There are 210 total combinations.
5+ 4e = -7 is the correct answer.
Answer:
Step-by-step explanation:
(2x + 1)(ax + b) = 6x² - 5x + c
Expand the left side and put that half into standard form:
2ax² + 2bx + ax + b = 6x² - 5x + c
2ax² + (2b + a)x + b = 6x² - 5x + c
So now look at the x terms. We have "2a" x² on left and 6 x² on right, so:
2a = 6
a = 3
Then look at the x terms, those coefficients will then be equal:
2b + a = -5
2b + 3 = -5
2b = -8
b = -4
and finally, then non-x terms are equal:
b = c
-4 = c
so:
a = 3, b = -4, c = -4
If it's a six sided dice, then it would be 1 out of 3.
I hope that helped :)
Is there a picture that goes with this?