7. The $5 gift cards are given away first. Inhow many ways can these cards be given to 3
of the 9 volunteers? Is this a combination or a
permutation? Explain.
Answer choices:
a. 84; combination because the order does
not matter
b. 504; combination because the order
does not matter
C. 84; permutation because the winners
are chosen one at a time
d. 504; permutation because the winners
are chosen one at a time
Answers
Answer:
c
Step-by-step explanation:
Final answer:
The $5 gift cards can be given to 3 of the 9 volunteers in 84 different ways.
Explanation:
This is a combination problem because the order in which the gift cards are given does not matter.
To find the number of ways the gift cards can be given to 3 of the 9 volunteers, we can use the combination formula:
C(n,r) = n! / (r!(n-r)!)
In this case, n = 9 (the number of volunteers) and r = 3 (the number of gift cards to be given).
Plugging in the values, we get:
C(9,3) = 9! / (3!(9-3)!) = 84
Therefore, there are 84 ways to give the $5 gift cards to 3 of the 9 volunteers.
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Related Questions
The perimeter of a rectangle billboard is 60 feet and has a length 6 feet longer than its width. Find the dimensions of the billboard.
I need some help pretty please!
Simplify sin(3x+13)=cos(4x)
What is the domain of the function y=10-5x
Answers
28 + 0.07 * 223
First, calculate the cost of the long-distance calls:
0.07 * 223 = 15.61
Now, add this cost to the fixed monthly charge:
28 + 15.61 = 43.61
So, Mrs. Li was billed $43.61 for her phone service with 223 minutes of long-distance calls.
–17
B.
–10
C.
–7
D.
–3
Answers
Answer: A.
Step-by-step explanation:
Here, the given function is,
By substituting x = -7
We get,
Thus, the value of is
.
⇒ Option A is correct.
put -7 for every x
f(x)=x-10
f(-7)=-7-10
f(-7)=-17
A
II. Two events are independent if they have the same probability.
III. An event and its complement have probabilities that always add up to 1.
A) I only
B) II only
C) III only
D) I and II only
E) I and III only
Answers
Option E) I and III only is the correct answer
Step-by-step explanation:
First of all we have to define the disjoint events and independent events
Disjoint events:
Two events are said to be mutually exclusive or disjoint if they cannot occur at the same time. There will be no common elements in their outcomes.
Independent Events:
Two events are said to be independent if the probability of occurrence of one event doesn't affect the probability of occurrence of other event.
Moreover,
The sum of probability of an events occurrence and its complement is 1.
So by looking at the definitions we can say that statement I and statement III are true
Hence,
Option E) I and III only is the correct answer
Keywords: Probability, events
Learn more about probability at:
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B) $0.06 per pound per year
C) $0.24 per pound per year
D) $0.18 per pound per year
Answers
Rate = change in price / change in time
Rate = ($1.20/lb - $0.90/lb) / 5 yrs - 0
Rate = $0.06 per lb per year
Thus, the answer is B.
A) x³+1
B) x³-1
C) x³
D) x²
E) x²+1
Answers
f(x+1) = (x+1-1)³ = x³
-5a-12<-18
Answers
Add 12 to each side:
-5a < -6
Divide each side by 5 :
-a < -1.2
a > 1.2