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
Natasha2012 [34]
3 years ago
12

There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same sta

te. How many ways can we choose a Senator from a chosen state?
Mathematics
1 answer:
Galina-37 [17]3 years ago
5 0

Answer:

We can not choose a senator again from the state from where we have already chosen a senator.

There are 2 number of ways we can chose a senator from the one chosen state.

Total number of ways of making the 3 senator committee = 940800

Step-by-step explanation:

Given that There are 2 Senators from each of 50 states.

To find:

The number of ways to make a 3 senator committee so that no two members are from the same state = ?

Solution:

There are a total of 2 \times 50 = 100 senators

First of all, we can select any one from these 100.

So, number of ways of choosing the first senator = 100 (50 states left and there are 2 senators so 50 \times 2 = 96)

Now, we need to choose the 2nd senator.

As per the given statement, we <em>can not choose the senator from the state from which we have already chosen a senator. The one state will not be considered now.</em>

So, number of ways of choosing the 2nd senator = 98 (49 states left and there are 2 senators so 49 \times 2 = 98)

Now, we need to choose the 3rd senator.

As per the given statement, we <em>can not choose the senator from the state from which we have already chosen a senator. Two states will not be considered now.</em>

So, number of ways of choosing the 3rd senator = 96 (48 states left and there are <em>2 senators</em> so 48 \times 2 = 96)

Total number of ways of making the 3 senator committee = 100 \times 98 \times 96 = 940800

You might be interested in
How many feet long is the fence ?
grandymaker [24]

Answer:

50 feet long

Step-by-step explanation:

Use the Pythagorean theorem to find the value of the missing side. The pythagoreon theorem only works with right triangles such as this one.

a²+b²=c²

Where a and b are length of legs (sides) of a triangle. And c is the length of the hypotenuse. The hypotenuse is the side across from the right angle.

We know by looking at the image posted in the question, that one leg of the triangle is 14 feet. And another leg is 48 feet. (Length of picnic area) (length of campground)

14²+48²=c²

Simplify

196+2304=2500

Find square root of 2500

√(2500)=50

So 14²+48²=50²

The missing side is 50 feet long. The fence is 50 feet long.

Attached is another example.

7 0
3 years ago
Solve the following quadratic equation. (x+12)^2=1 A. x = 11 and x = 13 B. x = -11 and x = -13 C. x = -11 and x = 13 D. x = 11 a
sveticcg [70]

Answer:

b

Step-by-step explanation:

(x+12)^2=1

or

(x+12)= +or - 1

when

x+12=1

x=1-12 =-11

when

x+12=-1

x=-1-12 =-13

then

x=-11 and x= -13

7 0
3 years ago
What is <br>60 is 1/100 of
irinina [24]
The answer should be 6,000
8 0
3 years ago
Read 2 more answers
ILL MARK BRAINLIEST FOR REAL ANSWERS
Llana [10]
The answer should be (0, 0).
I'm not sure. Hope it helps.
8 0
3 years ago
Read 2 more answers
Carpeting costs $9.99 a yard. If Jam buys 17.4 yards, how much will it cost her ?
guapka [62]
For this question you would have to multiply the cost ( $9.99 ) by how many yards are being bought (17.4) this is fairly simple , whip out your calculator . The answer is $173.83
4 0
3 years ago
Other questions:
  • What is the inequality of - r/4 &lt; 8 sorry I couldn't put the line under the greater or less sign.
    8·1 answer
  • What does z equal in 4z+5=-3z-8
    5·1 answer
  • Five times the sum of a number “n” and seven
    8·1 answer
  • Diesel Inc. is making frames for a new product being launched at the end of the year. To keep the weight down, the area of the f
    10·1 answer
  • XYZ is a right-angled triangle. Calculate the length of XZ. Give your answer correct to 2 decimal places. PLEASE ANSWER MY QUEST
    14·1 answer
  • Help on number 7 and 8 please
    12·1 answer
  • Which ordered pair is a solution to the system
    5·1 answer
  • 7x +2(-2x +1) <br><br>how do I solve this? ​
    10·1 answer
  • Scary math questionhshs
    7·1 answer
  • There is a bag filled with 4 blue, 3 red and 5 green marbles.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!