Pls answer. how did you get it?
1 answer:
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Answer:
i) There are 40320 possible orders
ii) There are 336 possible orders for the first 3 positions.
Step-by-step explanation:
Given: The number of finalists = 8
The number of boys = 3
The number of girls = 5
To find the number of sample point the sample space S for the number of possible orders, we need to find factorial of 8!
The number of possible orders = 8!
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8
= 40320
ii) From all 8 finalist, we need to choose first 3 position. Here the order is important. So we use permutation.
nPr =
Here n = 8 and r = 3
Plug in n =8 and r = 3 in the above formula, we get
8P3 =
=
= 6.7.8
= 336
So there are 336 possible orders for the first 3 positions.
Answer:
Step-by-step explanation:
The formula to use for this is
For us,
A(t) = 4300
P = 3800
n = 4
t = 2
r = ?
Let's fill in what we have then:
which simplifies a tiny bit to
The first thing to do is to divide both sides by 3800 to get
Now take the 8th root of both sides (on your calculator, of course!) to get
Now subtract 1 from both sides to get
And multiply both sides by 4 to get
.0622869598 = r
Multiply by 100 to get the rate as a percentage. It rounds to
r = 6.23%