1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetllana [295]
2 years ago
7

Please solve the following question.

Mathematics
1 answer:
mylen [45]2 years ago
3 0

Answer:

103, 776

Step-by-step explanation:

There are 48 possibilities, and you are picking 3.

Now, the order does matter (aka, if the same 3 athletes won but got different places, we would still consider it to be a separate possibility)

(this is considered "without repetitions")

the number of permutations (arrangement combinations where the order does matter) without repetitions formula:

Number of permutations

without <em>repetitions </em>= nPr

= \frac{n!}{(n-r)!}

(

[the P is for combinations [where the order does matter, if the order didn't matter then it would be C, and it would be a different formula.]

n is the total number of objects.

r is the number of objects selected]

<em>(a repetition would be like two versions of the same person competing, which doesn't make sense)</em>

{the ! means factorial:

5! = 5 x 4 x 3 x 2 x 1}

{for example, if there are 5 people to give a presentation, and they can go in any order [but cannot repeat their presentation], so they all must fill 5 slots}

{for the first slot there are 5 choices, the second slot there are 4 choices...}

)

So, if we follow this formula:

\frac{n!}{(n-r)!}

n: 48

r: 3

\frac{48!}{(48-3)!}

= \frac{48!}{45!}

=\frac{48 * 47*46*45!}{45!}

(the 45! cancel out)

= 48 * 47 * 46

= 103, 776

(or, without the formula:

for the first choice (lets say of gold), there are 48 options

for the second choice (lets say silver), there are 47 options left to choose from

for the third choice (lets say bronze), there are 46 options left to choose from

)

You might be interested in
Fill in the blanks to rewrite the following statement with variables: Given any positive real number, there is a positive real n
sveticcg [70]

Answer:

a) there is s such that <u>r>s</u> and s is <u>positive</u>

b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r

Step-by-step explanation:

a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.

b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.

3 0
3 years ago
Which quadratic equation defines the function that has zeros at -8 and 6?
Citrus2011 [14]
Answer is D.) Hope I could help have a good day
7 0
3 years ago
Negative one and one-sixth divided by negative six
Sveta_85 [38]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I need to solve 5y+1&lt;36
bezimeni [28]

Answer:

y<7 since if you subtract 1 from both sides and then divide both sides by 5 you get y<7

7 0
3 years ago
Explain how you can compare the cost of two items that are different sizes.
Maru [420]

Answer:

Compare the cost for the each (smallest) unit.

Step-by-step explanation:

You can calculate the cost per unit

For example :

20 ounces of water of brand A cost 1.50

30 ounces of water of brand A cost 2

20 ounces of water cost 1.50/20 = 0.075 dollar per ounce

30 ounces of water cost 2/30 = 0.0677 dollar per ounce

4 0
2 years ago
Read 2 more answers
Other questions:
  • Find the perimeter of the polygon. Round your answer to the nearest tenth.
    7·1 answer
  • Which fraction is bigger 5/6 or 8/9?
    7·2 answers
  • If f(4) = 5, find f ^-1 (5).
    10·1 answer
  • A company make concrete bricks shaped like rectangular prisms.
    7·1 answer
  • Please could you show me how to work this out?
    5·1 answer
  • 6th term of 15,12,48/5
    8·1 answer
  • In a game, a player earns 100 points for each question answered correctly and earns -30 points for each question answered incorr
    12·1 answer
  • The table shows Mitch’s record for the last thirty par-3 holes he has played.
    7·1 answer
  • Please help! High school math
    10·1 answer
  • Please help! Based on the picture above, select the correct angle pair for 3 and 5
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!