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Jobisdone [24]
3 years ago
13

I will give brainliest to simplest explanation! There are 2 Senators from each of 50 states. We wish to make a 3-Senator committ

ee in which no two members are from the same state. How many ways can the 3-Senator committee be formed such that no two Senators are from the same state?
Mathematics
1 answer:
Alika [10]3 years ago
8 0

Answer:

117,600 ways

Step-by-step explanation:

This problem can be solved using fundamental principle of counting , according to which , if there are m different things and n different things,

then there m*n ways to combine.

Example: if there 5 shirts and 3 ties,

then number of ways in which different combination shirt and tie can be worn is

5*3 = 15 ways.

____________________________________

In the problem,\

number of states is 50,

let those states be

A1, A2, A3, A4 ......A50

in each state there are 2 senate

Condition

3-Senator committee in which no two members are from the same state.

then

first member can be chosen from any of the 50 state,

hence first member can be chosen in 50 ways

for simplicity lets take state A1, you can choose any one you wish

second member cannot be from state A1, then number of state left = 49

second member can be chosen from  any of 49 state left

hence second member can be chosen in 49 ways

for simplicity lets take state A2,

Third member cannot be from state A1 and A2, then number of state left = 48

Third member can be chosen from  any of 48 state left

hence Third member can be chosen in 48 ways

for simplicity lets take state A3,

Hence no. of ways of choosing  3-Senator committee be formed such that no two Senators are from the same state = 50*49*48 = 117,600 ways

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I could use your help here​
Norma-Jean [14]

Answer:

-1

Step-by-step explanation:

i= -1^(1/2)

= -1^(1/2 x 34)

= -1^(17)

= -1

3 0
3 years ago
16. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
il63 [147K]

Answer:

Given equation are:

y = -\frac{1}{4}x+8                  ......[1]

-2x+8y = 4                             .....[2]

  • The two lines are parallel lines then their slopes will be equal.
  • When two lines are perpendicular then, the slope of lines are the negative reciprocals of each other.

Now, Equation of a line is in the form of y =mx+b where m is the slope of the line.

Slope(m_1) of equation of line in [1] is;

y = -\frac{1}{4}x+8  

then;

m_1= -\frac{1}{4}

Slope(m_2) of equation of line in [2];

-2x+8y = 4

Add both sides 2x we get;

-2x + 8y + 2x = 2x + 4

Simplify:

8y = 2x +4

Divide both sides by 8 we get;

y = \frac{1}{4} x + \frac{1}{2}

then;

m_2 = \frac{1}{4}

Therefore, the given two lines are neither parallel nor perpendicular.

4 0
3 years ago
Resolver:
Dafna1 [17]
Aquí está las respuestas y el trabajo de cada una, si tienes alguna pregunta me envías un mensaje o un comentario

3 0
2 years ago
What is the factored form of the expression?Factor completely. 6x^4-9x^3-36x^2+54x
mario62 [17]
If we factorize the expression

6x^4-9x^3-36x^2+54x

We will get

3x(2x-3)(x^2-6)


Hope I helped!
8 0
3 years ago
Read 2 more answers
Write a rule for the linear function in the table.
Ira Lisetskai [31]

Answer:

f(x) = 4 - x

Step-by-step explanation:

'f(x) = blah-blah' is the same as saying 'y = blah-blah', except it is also telling you that the x-y relationship is a function.

I notice that for each case, x + y = 4, so    y = 4 - x

Or in 'function' terminology,                       f(x) = 4 - x

5 0
3 years ago
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