The answers to the question are:
<h3>How to solve for permutations and combinations</h3>
1. The letters of the word track can be arranged in 5! ways
These are 5 x 4 x 3 x 2 x1
= 120
2. The way that the student would be able to select 6 out of 10 questions would be by 10C6
= 210 ways
C)This teacher would be able to make the decision of the prices to the students using =20C6= n!(n-r!r!)
= 38760
Read more on permutations and combinations here:
brainly.com/question/4658834
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C; since this is a function of N you are replacing N for 10
Simple...
remember A(B+C)=A*B+A*C
You have to have a common factor in both terms..(number)..this number would be 6.
So we know it has to have 6 in your answer.
If we plug n chug..:
20*6+20*5=220
6*40+6*5=270
6*40+6=246
6*4+6*5=54
6*45= 270
This being said, 6*40+6*5 is the choice you need.
Thus, your answer.
Answer:
The quotient is 10x + 16
The remainder is 28x² + 10x + 22
Step-by-step explanation:
x³ - 3x² + x - 2) 10x⁴ - 14x³ - 10x² + 6x - 10 (10x + 16
<u> 10x⁴ - 30x³+ 10x² - 20x </u>
16x³ - 20x² + 26x - 10
<u>16x³ - 48x² + 16x - 32</u>
28x² + 10x + 22
Therefore, the quotient is 10x + 16
The remainder is 28x² + 10x + 22
I believe it is A: There is more variation in the science scores.
