Using the Fundamental Counting Theorem, it is found that 60 different possible student council teams could be elected from these students.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with 
ways to be done, each thing independent of the other, the number of ways they can be done is:
Considering the number of options for president, vice president, treasurer and secretary the parameters are:
n1 = 5, n2 = 2, n3 = 2, n4 = 3.
Hence the number of different teams is:
N = 5 x 2 x 2 x 3 = 60.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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Hello, you are solving formulas in this case, heres a good way of doing these problems: :)
We know that that 10 people shake hands, so each person shakes 9 hands. The first person shakes 9 hands, the second person shakes 8 hands, the third person shakes 7 hands, and so on. That would give you the answer, however in the case of bigger numbers, this technique is not the best, in fact the best is by doing the following.
Each handshake consists of two people shaking hands. How many ways can <span>you choose those two people if there are 10 people in the group? You
can choose any one of 10 people for the first person involved in the
handshake; then for each of those 10 choices, you have 9 choices for
the second person. So you have 10*9 = 90 ways of choosing the two
people for the handshake.
But wait a minute. Person A shaking hands with person B is the same as
person B shaking hands with person A; this means that in counting the 90 handshakes you have actually counted each one twice, so the
actual number of handshakes is half of 90, or 45.
I hope i helped, and your final answer is 45
Thank you,
Darian</span>
<span>Distance = d miles ; rate = 60 mph ; time = d/60 hrs
distance = d miles ; rate = 50 mph ; time = d/50 hrs
----------------------
Round-trip DATA:
distance = 2d miles ; rate = 55 mph ; time = (2d)/55 hrs
-----------------------------------------------------------
Equation:
Roundtrip time - other time = -1/2 hr
(2d)/55 - [(d/60)+(d/50)] = -1/2
(2d)/55 - [(110d)/(50*60)] = -1/2
---
600(2d) - 11[110d] = -16500
1200d - 1210d = -16500
-10d = -16500
distance = 1650 miles
Hope this helped :)</span>
Answer: Yes.
Step-by-step explanation: 4:8 simplifies to 1:2, since he used half as many rainbow charms as he did white stars. 5:10 also simplifies to 1:2. If they both have half as many rainbow charms as white, then both of his sister’s bracelets keep the same ratio.
Answer:
9.5x5x0.5
23.75
109.5
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
:
9.5x5x0.5
:
Volume would be 9.5*5*0.5=23.75
:
2wl+2lh+2hw
2(5*9.5)+2(9.5*0.5)+2(0.5*5)=95+9.5+5=109.5
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
Please, please, please give brainliest, it would be greatly appreciated, I only need one more before I advance, and this took forever to write!
