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2 years ago

How many ways are there to elect a president, Vice President, secretary, and treasurer, from a club with 32 members?

Mathematics

1 answer:

PIT_PIT [208]2 years ago

3 0

Answer: There are 863,040 possible ways

Step-by-step explanation: There are 32 members altogether in the club. So in order to elect a president from among all of them, if every one of them has a chance if being elected, there would be 32 possible chances for every single club member.

However, as long as one member has been elected as president, that leaves others with a 31 chance per person arrangement.

Therefore, all possible permutations of electing four officers from a club of 32 members can be expressed as

32! (Thirty two factorial) which can be simplified as

32 x 31 x 30 x 29 and that equals 863,040.

863,040 possible ways of electing four officers from a club of 32 members.

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Please help me on this problem

Anna71 [15]

Answer:

The pairs of integer having two real solution for $ax^{2} -6x+c = 0$ are

$a = -4, c = 5$
$a = 1, c = 6$
$a = 2, c = 3$
$a = 3, c = 3$

Step-by-step explanation:

Given

$ax^{2} -6x+c = 0$

Now we will solve the equation by putting all the 6 pairs so we get the following

$-3x^{2} -6x-5 = 0$ for $a = -3 , c=-5$

$-4x^{2} -6x+5 = 0$ for $a = -4 , c=5$

$1x^{2} -6x+6 = 0$ for $a = 1 , c=6$

$2x^{2} -6x+3 = 0$ for $a = 2 , c=3$

$3x^{2} -6x+3 = 0$ for $a = 3 , c=3$

$5x^{2} -6x+4 = 0$ for $a = 5 , c=4$

The above all are Quadratic equations inn general form $ax^{2} +bx+c=0$

where we have a,b and c constant values

So for a real Solution we must have

$Disciminant , b^{2} -4\timesa\timesc \geq 0$

for $a = -3 , c=-5$ we have

$Discriminant =-24$ which is less than 0 ∴ not a real solution.

for $a = -4 , c=5$ we have

$Discriminant = 116$ which is greater than 0 ∴ a real solution.

for $a = 1 , c=6$ we have

$Discriminant =12$ which is greater than 0 ∴ a real solution.

for $a = 2 , c=3$ we have

$Discriminant =12$ which is greater than 0 ∴ a real solution.

for $a = 3 , c=3$ we have

$Discriminant =0$ which is equal to 0 ∴ a real solution.

for $a = 5 , c=4$ we have

$Discriminant =-44$ which is less than 0 ∴ not a real solution.

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3 years ago

You must write your answer in fully simplified form.<br>2t= -12

Katarina [22]

Answer:

t=-6

Step-by-step explanation:

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1 year ago

Whoever answers first I'll give a brainly what is<br> 2+2

Naya [18.7K]

Answer:

Step-by-step explanation:

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2 years ago

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A homeowner plans to remodel her bathroom,- and she’s chosen 1-foot-by-1 foot ceramic tiles for the floor. The bathroom is 8 fee

Cerrena [4.2K]

a.)102*88=8976 in total.

8976/12=748 tiles

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c.) yes it qualifies

hope this is correct, if not, sorry for the inconvenience...

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3 years ago

Rudiy27

In the given question it is already mentioned that an adult drinks 54 fluid ounces of water daily. Also it is mentioned that Josey has already drank 700 milliliters of water.
Now fopr solving this problem we have to fist convert 64 ounces to liter and then convert 700 milliliter to liter and then only can we get the answer to the question.
We already know
1 ounce = 0.29 liter
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So 18.56 liter is the daily recommendation for an adult to drink water
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1 milliliter = 0.001 liter
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So Josey has already drank 0.7 liters of water
Amount of water Josey still needs to drink = (18.56 - 0.7) liter
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3 years ago

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