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
Pani-rosa [81]
3 years ago
10

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 the 3-Senator committee be formed such that no two Senators are from the same state?
Mathematics
2 answers:
andrey2020 [161]3 years ago
3 0

Answer:

156800 Ways

Step-by-step explanation:

Since 3 states can be represented in 19600 ways, -->

now we have 2 ways different from the 1st of the 3 states -->

We can also select in 2 independent ways from the second of the 3 states -->

and 2 ways from the third of the 3 stats

This gives us 2 x 2 x 2 x 19600 or => 8 x 19600 giving us 156800 ways

Thus, we have our answer of 156800 ways

<em>Hope this helps!</em>

elena55 [62]3 years ago
3 0
156800 ways the 3 senator committee be formed
You might be interested in
46 3= what is the answer
Andrews [41]
If you mean 46 * 3 = 138
If you mean 46 + 3 = 49
If you mean 46 - 3 = 43
If you mean<span> 46 ÷ 3 = 15.3

Hope it helped
</span>
5 0
4 years ago
According to the table, which ordered pair is a local minimum of the function, f(x)?
sveticcg [70]

Answer:

Option D

Step-by-step explanation:

Given is a table which gives the order pair of x and y for a function f(x)

We have to find the local minimum of the function f(x)

We have from the table the values of different f(x)

Of all we find the least value is -15 and for this x value is -2 or +2

Hence f(x) has minimum at two points

(-2,-15) and (2,-15)

Out of 4 options given we find that (2,-15) appears in IV option

Hence option D is right answer

7 0
4 years ago
Read 2 more answers
Let a1, a2, a3, ... be a sequence of positive integers in arithmetic progression with common difference
Bezzdna [24]

Since a_1,a_2,a_3,\cdots are in arithmetic progression,

a_2 = a_1 + 2

a_3 = a_2 + 2 = a_1 + 2\cdot2

a_4 = a_3+2 = a_1+3\cdot2

\cdots \implies a_n = a_1 + 2(n-1)

and since b_1,b_2,b_3,\cdots are in geometric progression,

b_2 = 2b_1

b_3=2b_2 = 2^2 b_1

b_4=2b_3=2^3b_1

\cdots\implies b_n=2^{n-1}b_1

Recall that

\displaystyle \sum_{k=1}^n 1 = \underbrace{1+1+1+\cdots+1}_{n\,\rm times} = n

\displaystyle \sum_{k=1}^n k = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2

It follows that

a_1 + a_2 + \cdots + a_n = \displaystyle \sum_{k=1}^n (a_1 + 2(k-1)) \\\\ ~~~~~~~~ = a_1 \sum_{k=1}^n 1 + 2 \sum_{k=1}^n (k-1) \\\\ ~~~~~~~~ = a_1 n +  n(n-1)

so the left side is

2(a_1+a_2+\cdots+a_n) = 2c n + 2n(n-1) = 2n^2 + 2(c-1)n

Also recall that

\displaystyle \sum_{k=1}^n ar^{k-1} = \frac{a(1-r^n)}{1-r}

so that the right side is

b_1 + b_2 + \cdots + b_n = \displaystyle \sum_{k=1}^n 2^{k-1}b_1 = c(2^n-1)

Solve for c.

2n^2 + 2(c-1)n = c(2^n-1) \implies c = \dfrac{2n^2 - 2n}{2^n - 2n - 1} = \dfrac{2n(n-1)}{2^n - 2n - 1}

Now, the numerator increases more slowly than the denominator, since

\dfrac{d}{dn}(2n(n-1)) = 4n - 2

\dfrac{d}{dn} (2^n-2n-1) = \ln(2)\cdot2^n - 2

and for n\ge5,

2^n > \dfrac4{\ln(2)} n \implies \ln(2)\cdot2^n - 2 > 4n - 2

This means we only need to check if the claim is true for any n\in\{1,2,3,4\}.

n=1 doesn't work, since that makes c=0.

If n=2, then

c = \dfrac{4}{2^2 - 4 - 1} = \dfrac4{-1} = -4 < 0

If n=3, then

c = \dfrac{12}{2^3 - 6 - 1} = 12

If n=4, then

c = \dfrac{24}{2^4 - 8 - 1} = \dfrac{24}7 \not\in\Bbb N

There is only one value for which the claim is true, c=12.

3 0
2 years ago
Which of these are coordinates for parts of the Ranger Station​
anastassius [24]

ANSWER

F (2,3)

EXPLANATION

The coordinates are ordered pairs.

So the x-coordinate comes first and the y-coordinate second.

In other words the coordinate on the horizontal axis comes first and that of the vertical axis comes second.

The coordinates of the ranger station are:

(2,3),(2,4),(3,3),(3,4)

The correct choice is F.

6 0
3 years ago
Read 2 more answers
320% expressed as a mixed number in sinplest from is
UNO [17]
320% is equal to 3 whole parts and 20% of a part. If one part is 100, then the mixed number would be 3 20/100. However, the problem says to simplify this, so it would be, 3 1/5!
7 0
4 years ago
Read 2 more answers
Other questions:
  • 7x - 2 = 2y 3x = 2y - 1
    14·1 answer
  • Jeremy says that 5.676677666777... is a rational number because it is decimal that goes on forever
    13·1 answer
  • Laura is paying 1.07x including tax for a sweater that costs x before tax. Write this expression in another way to show the amou
    10·1 answer
  • The line m has a slope of 2/3.Which line described below is the only line that could be parallel to line m?
    15·1 answer
  • Can someone give me the answer for this? __ (5 + 4) = 2 * 5 + 2 * 4
    8·2 answers
  • On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and
    6·1 answer
  • Heellllllllllllllllllllppppppppppppppppppppppppppp
    5·1 answer
  • I really need help Please ​
    13·1 answer
  • Please help me with this work
    6·1 answer
  • Hey Everyone Pls Help Me Ill Rate 5 stars And Drop A Thanks :D
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!