Answer:
165 different teams of 3 students can be formed for competitions
Step-by-step explanation:
Combinations of m elements taken from n in n (m≥n) are called all possible groupings that can be made with the m elements so that:
- Not all items fit
- No matter the order
- Elements are not repeated
That is, a combination is an arrangement of elements where the place or position they occupy within the arrangement does not matter. In a combination it is interesting to form groups and their content.
To calculate the number of combinations, the following expression is applied:
It indicates the combinations of m objects taken from among n objects, where the term "n!" is called "factorial of n" and is the multiplication of all the numbers that go from "n" to 1.
In this case:
Replacing:
Solving:
being:
- 3!=3*2*1=6
- 8!=8*7*6*5*4*3*2*1=40,320
- 11!=39,916,800
So:
C= 165
<u><em>165 different teams of 3 students can be formed for competitions</em></u>
Answer:9x
Step-by-step explanation:
Answer:
first pic = the second choice
second pic = the last choice
Answer:
-4+6(3-n)=6n-14
Step-by-step explanation:
Distributive property and then simplify
Answer:
B and C
Step-by-step explanation:
The really tough one to get rid of is A. She's right in her method and it sounds like A should be a deal breaker. Suppose however, you make y = 1/x. Now the equation is linear.
y + 3 = 3y Subtract y from both sides
3 = 3y - y
3 = 2y Now divide this by by 2
3/2 = y
But they are not the same answer!! You've gotten rid of one problem only to create another. Well yes. I never said it was easy getting rid of A. But remember y = 1/x, so x will equal 1 / y.
x = 1/y = 1//3/2 = 2/3
Now they agree.
That's kind of sneaky you might say. That's right it is. But its not wrong. A is not part of the answer.
B is certainly right.
C is correct as well, That's the way the equation is ultimately solved.
D is nonsense. You can do all sorts of things with the letters in equations
