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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: How many handshakes can occur between 5 people if everyone shakes hands?
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Related questions

How many people are at a party with 741 handshakes if everyone shakes once?

371


How many handshakes will there be altogether at the end of a business conference with five people present?

9 handshakes if everyone shakes everyones hand once


In a party everyone shakes hand with each other If total number of handshakes is 66 how many people were there?

12


Examples of hard riddles or quizzes?

if there are 2 people in a room and each one shakes hands once with every other person in the room, how many hand shakes are there?... answer( 1 handshake) pretty easy isn't it? if there are 3 people in a room and everyone shakes hands with everyone else, how many hand shakes are there? answer( three handshakes) now how many handshakes will there be for 5 people in a room? its your time to shyne...


How many shakes if there are four people?

4*3/2 = 6 handshakes.


If at a party there are a total of 741 handshakes and each person shakes hands with everyone else at the party exactly once how many people are at the party?

38


Four people in a room. Each shakes hands with each of the others once. How many handshakes are there?

9 handshakes correct answer is 10


In a room there are N number of people if everyone shakes hands how many handshakes are made?

Depends what you mean, if you mean if everyone shakes hands just once then N-1 handshakes are made. If you mean if everyone shakes hands with everyone else then the answer is (N-1)+(N-2)+....+2+1 (we dont include N as they're not going to shake their own hand, obviously) written as Σn-1i=1 i, this is a arithmetic progression and so the total number of handshakes will be equal to (1+(n-1))(n-1)/2


There are five people in a room Each person shakes the hand of every other person exactly once How many handshakes are exchanged?

Everyone shakes hands with 4 other people. Since there are 5 people in the room this would suggest there are 5*4 = 20 handshakes. However, you would then be double counting handshakes: A shaking hands with B and B shaking hands with A is, in reality, only one handshake. Thus there are 5*4/2 = 10 handshakes in all.


If ten people are at a party and they all exchange handshakes how many hand shakes were exchanged?

If that happens you have to times ninexten and the answer would be 90 handshakes


There are 10 people they all shake hands how many hand shakes are there?

45 handshakes


If there are 8 people at a party and every person shakes hands with everyone else at the party how many handshakes will there be?

There will be 28 handshakes. If you ask each person how many handshakes they had they will tell you 7 making 7 x 8 = 56 handshakes in all. But every hand involves two people, so every handshake has been counted twice, thus there are 56 / 2 = 28 handshakes in all.


Five people are in a room If everyone shakes hands with everyone else once how many handshakes will there be in all?

If it doesn't matter who starts it, then there are 60 separate hand-shakes.If it makes a difference who starts the greeting, then there are 120 different cases.


How many handshakes if 4 people shakes hands with every other person in the room?

Type your answer here... 6


Seven people come to a party and shakes hands with each other if each person shakes the hand of every other person how many hand shakes occur?

If there are seven people, then the number of handshakes is 7*6/2 = 21


How many hand shakes would there be if 26 people shook hands?

there would be 26 handshakes if they were all done at once


Seve girls arrive at a tea party each of them shakes hands once with each of the others how many handshakes does that make?

21 handshakes


At the end of a banquet 5 people shake hands with each other How many handshakes will there be in total?

Each person shakes hands with every other person at the end of the banquet. When person 1 shakes hands with person 2 that constitutes one handshake even though 2 people are involved. So the answer is 10 total handshakes because the 1st person will have 4 total handshakes(because he can't shake hands with himself, he has 4 and not 5 total handshakes), and then the 2nd person will have 3 total handshakes (you wouldn't say 4 handshakes because you've already included the handshake between person 1 & person 2 when calculating the first person's number of shakes) and so on for the remaining 3 people. On paper the math would look like this: 4+3+2+1=10 Alternatively: Each person shakes hands with 4 others so the answer looks like 5x4 = 20; However, in Fred shaking with 4 others, he shakes with Charlie, similarly, in Charlie shaking with 4 others he shakes with Fred. Thus the Fred-Charlie handshake has been counted twice (once by Fred, once by Charlie), as have all the handshakes, thus the answer is: 5x4 / 2 = 10.


How many handshakes if 6 people shakes hands with every other person in the room?

If there are 6 people in a room, and each person shakes hands with every otherperson in the room, then there will be 15 separate and distinct handshakesbetween different pairs of people.


When ten people in a room shake hands with everyone else how many handshakes will there be in total?

Person A shakes with nine people (B through J).Person B shakes with eight (C through J because he's already shaken hands with A). Person C shakes with seven, D with six, all the way down to person J, who has already shaken with everyone else. So, 9+8+7+6+5+4+3+2+1+0=45 shakes.


How many handshakes for 50 people?

If each person shakes the hand of every other person just once, then 50*49/2 = 1225


If each of seven persons in a group shakes hands with each of the other six persons then a total of forty-two handshakes occurs?

The answer is 21 handshakes because the first person shakes hands with the other 6 people. The second person shakes hands with 5 people because they already shook hands with the first person. The third person shakes hands with 4 people because they already shook hands with the first and second person. The fourth person shakes hands with 3 people because they already shook hands with the first, second, and third. The fifth person shakes hands with 2 people because they already shook hands with the first, second, third, and fourth person. The sixth person shakes hands with the seventh person because the rest have already shaken hands with them. The seventh person doesn't have anyone else to shake hands with. Therefore the answer is 21 handshakes.


There are 8 people they all shake hands how many hand shakes are there?

There are 28 handshakes if everyone shakes hands with everyone else. It is an arithmetic progression and can be solved with the equation Sn=(1+(n-1))(n-1)/2 where Sn is the total sum of handshakes for n people. NB: I have used n-1 instead of n in the equation for the sum of an arithmetic progression, because you're not really going to shake hands with yourself, so you don't include the nth term, in this case 8. Alternatively, you can solve this geometrically by drawing an octagon, drawing lines between all the vertices, and then adding all the lines up.


How many people are there if everyone shakes hands and there are 66 handshakes?

Assuming that each person shakes hands with every other person, there are 12 people. Let n be the number of people. Then each person shakes hands with (n-1) people and if you ask every person how many hand shakes they made and total them you will get a total of n(n-1) handshakes. However, each handshake involves two people and has been counted twice - once by each person that shook hands - thus number of hand shakes is half of this, giving: n(n-1)/2 = 66 ⇒ n(n-1) = 132 ⇒ n2 - n - 132 = 0 ⇒ (n - 12)(n + 11) = 0 ⇒ n = 12 or -11 You can't have -11 people, therefore there are 12 people.


How many handshakes will be there be in total if 9 people shake hands with each other?

the first shakes 8 people's hands (remember, not his own), the second 7 (he doesn't shake the first one's hand), then the third shakes six, the fourth shakes 5, the fifth shakes 4, the sixth shakes 3, the seventh shakes 2, and the 8th shakes the 9ths hand so 8+7+6+5+4+3+2+1 = 36