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
What was the temperature
Alenkasestr [34]
It was 65 degrees by lunch time.
6 0
3 years ago
Read 2 more answers
PLEASE HELPP !! The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy knows the diagonal of the
EleoNora [17]

Answer:

a) d = 36 ft. ( using Pithagoras´theorem )

b) d = 36 ft  ( Using ( function sin ) trigonometry

Step-by-step explanation:

a) Using Pythagoras´Theorem:

Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.

d²  =  a²  +  b²  

In this particular case  a =  b  =  25 feet then

d² =  (25)²  +  ( 25)²

d  = √ 2 * (25)²

d  = √2   * 25

d  =  1,414*25

d  =  35,35

d = 36 ft.

b) Using trigonometry:

We know that sin 45° = cos 45° =  √2 / 2

In a right triangle

sin α  =  opposite side / hypothenuse (d)

sin 45°  =  √2 / 2   =  25/ d

√2 *d  =  2* 25

d  =  50/√2

d  =  50 / 1,414

d  =  35,36

d = 36 ft

6 0
3 years ago
In a pack of 52 cards, 4 of the cards are kings. the first card is picked, the results are recorded and the card is returned to
Ulleksa [173]
Total cards = 52

Total kings = 4

P(2 kings) = (4/52)(4/52) = 1/169

Answer : 1/169
8 0
3 years ago
I need help how do I slove this and how do I figure out the ratio. And could you provide a guide on how you go about finding the
bulgar [2K]

Answer:

<h3>Option C. 6 : 1 is the answer.. </h3>

<h2>Hope it can help you and please mark me as a brainlist..</h2>
7 0
2 years ago
What's the answer to tripling the greater of the two consecutive even integers gives the same result as subtracting 10 from the
Ostrovityanka [42]

let the 2 integers be x and x + 2.

so we have the equation:-

3(x + 2)  = x - 10

3x + 6 = x - 10

2x = -16

x = -8

the integers are -8 and -6  answer


5 0
2 years ago
Other questions:
  • Erick, Mia, and Isabelle golfed 9 holes. Erick scored 10 more than Mia, and Isabelle scored 16 less than twice Mia's score. Use
    10·1 answer
  • Divide.<br>-8 3/4 ÷ 2 1/6<br><br>-4 1/8<br><br>-4 1/26<br><br>-3 25/26<br><br>-3 1/8 ​
    8·2 answers
  • Answer the following question about the function whose derivative is given below
    6·1 answer
  • Fine the missing angle.. x=??
    7·2 answers
  • You are fishing and are allowed to catch at most 3 striped basses. Each striped bass must be no less than 18 inches long. a. Wri
    6·1 answer
  • If a square has an area of 324 ft what is the length of each side
    15·2 answers
  • HURRY! Which of these numbers are 11 units from 0 on the number line?
    13·2 answers
  • -3 (2-x)=6x solve the equations ​
    10·1 answer
  • PLEASE HELP. Select the correct shapes.<br> Select the shapes that are similar to shape A.
    12·1 answer
  • A fair coin is flipped 120 times. Estimate the expected number of ‘heads’.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!