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
Leya [2.2K]
3 years ago
8

There are 135 people and three door prizes. how many ways can door prizes of $7,500, $750 and $75 be distributed?

Mathematics
1 answer:
igomit [66]3 years ago
6 0

Answer: 2405970 ways

Step-by-step explanation:

When the order of selecting r individuals out of n individual , we use permutations.

The number of permutations of r things taking out of n things is given by :-

^nP_r=\dfrac{n!}{(n-r)!}

Given : There are 135 people and three door prizes .

i.e. n= 135 , r= 3

Then, the total number of ways = ^{135}P_3=\dfrac{135!}{(135-3)!}

=\dfrac{135\times134\times133\times132!}{132!}\\\\=135\times134\times133\\\\=2405970

Hence, there are 2405970 ways to distribute door prizes of $7,500, $750 and $75 .

You might be interested in
Larissa is measuring fabric to make a homecoming banner. She knows that the fabric is 1 and 1/2 yard wide. If she wants her bann
WINSTONCH [101]
It’s very confusing but just think ab it
8 0
3 years ago
How did these steps worked out ?​
Sergeeva-Olga [200]
The steps i took into doing these problems did very well for me
8 0
3 years ago
The simplest from ratio for 27/45
Tems11 [23]
Both 27 and 45 have the greatest common factor of 9, so divide the numerator and the denominator by 9 to get the simplest form.
27/45 = 3/5
3/5 is the simplest ratio
3 0
3 years ago
Read 2 more answers
Wee-Mobile is offering a cell phone family plan for its users. The breakdown of the cost of the plan per month is given below.
Stells [14]

The total cost for a 6-month plan for n lines is represented by the equation:

Cost = 660n + 100

This equation is in the slope intercept form. The coefficient of n represents the slope here.

In the given scenario the slope can be interpreted as the total variable cost for one line for a period of 6 months.

The variable costs are associated with a line are:

1) Unlimited data cost ($40 per month). So for 6 months this cost will be $240

2) Unlimited Call cost ($10 per month). So for 6 months this cost will be $60

3) Unlimited Text Message Cost ($10 per month). For 6 months this cost will be $60.

4) Cost of Phone ($300 per line)

Adding these costs up we get: 240 + 60 + 60 + 300 = $660

Thus, 660 represents the total cost per line for unlimited data, calls, text message and one phone for 6 months. Therefore, option A gives the correct answer.

8 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
miskamm [114]
Akim ran 69.75 miles in the course of 18 days.
3 0
3 years ago
Read 2 more answers
Other questions:
  • For what values of x will the result of 5x be greater than 1
    7·1 answer
  • Which number line represents the solution set for the inequality 1x24?
    12·1 answer
  • What is the name for a transformation where the figure changes size?
    10·2 answers
  • A circle circumference is approximately 76 cm. estimate the radius diameter and area of the circle
    8·1 answer
  • A storage gives every 42nd customer a $42 gift certificate.Every 30th customer gets a $30 gift certificate. What number customer
    13·2 answers
  • A group of 196 students needs to be seated in a square formation for a yearbook photo. How many students should be in each row?
    8·1 answer
  • A jazz concert brought in $167,000 on the sale of 8,100 tickets. If the tickets sold for $15 and $25 each, how many of each type
    6·1 answer
  • Good review if done correct
    15·1 answer
  • Which expression is equivalent to 2x^2 - 2x + 7?
    14·1 answer
  • 2. GYMNASIUM You want to estimate the number of students in your school who think the gymnasium should be remodeled. You survey
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!