Best Answer

Start out with small cases and you will see the pattern. At that point, you might even guess what the formula is. So let's ay the room has only A and B---two people. there is one handshake

(A with B). Three people (A, B, and C), there are three handshakes

(A with B and C; B with C). Now, let's try four people (A, B, C, and D), there are six handshakes

(A with B, C, and D; B with C and D; C with D). So if we have n+1 people, the number of handshakes is the sum of the first n numbers. This is n(n+1)/2 So for 6 people it is the sum of the first 5 numbers, which is 1+2+3+4+5=15 or 5x6/2=30/2=15 Another way to think of this, if you have done some combinatorics, is for 6 people, in how many ways can you pick two. This is 6C2 or 6x5/2= 15

Q: There are six people in a room each person shakes hands with another person once until they all shake hands fifteen handshakes occur Explain how the fifteen handshakes resulted?

Write your answer...

Submit

Still have questions?

Continue Learning about Algebra

The fifth root of fifteen = 1.718772

9

3:00 am

1

When the word "and" separates the numbers it lets you know the number is a mixed number. For example: Twenty-four dollars and fifteen cents = $24.15 (or 24 15/100).Thirty is the whole number: 30Fifteen-thousandths is the fraction: 15/1000To express 15/1000 in decimals, then divide the denominator into the numerator: 15/1000 = .015Thirty and fifteen-thousandths = 30.015

Related questions

If six people meet there are fifteen handshakes.

You can brush your teeth.Another AnswerYou can count fifteen minutes. Another AnswerYou can save fifteen percent on car insurance. :D

Fifteen.

sixteen and fifteen thousands

Jamie Oliver's "Fifteen" restaurant is located at 15 Westland Place, London, N1 7LP. The restaurant resulted from a television programme where Jamie took on "challenged" teenagers and taught them to cook. It now has its own apprentice scheme to carry on this work.

nights is fifteen sme as sonic another sega character

Yes, a number can be a noun, or pronoun. It acts as an adjective when it appears with another noun.

One because there isnt another factor in 10 and fifteen that are the in the same group

fifteen turtles are fed iceberg lettuce and vitamins, while another fifteen turtles are fed only iceberg lettuce APEX

15+15+15+15=60

Fifteen feet is fifteen feet long.

Make sure you ice it for fifteen minutes, take a break for ten minutes, then do it again for another fifteen minutes. Wrap your finger and take the wrap off if you need to take a shower. HOPE I HELPED YOU!