there are 200 seniors and 100 womens invited to a party, if one women, will shake hands with a senior for 2 times, and if everyone should handshake atleast one time, (seniors shake hands with other seniors and womens shake hands with outher seniors too) how many handshakes would be in that party??

Question

amistre64 · Answer

senior to senior; eh.... 200(199)/2

amistre64 · Answer

well, lets try that with the total for starters;

300(299)/2 is everyone shaking hands once

anonymous · Answer

yes

amistre64 · Answer

44850 for one go around then

amistre64 · Answer

then each woman has to shake hands with 200 old people again; so 100(200)

anonymous · Answer

we should calculate senior to senior, women to women, senior to women and then we should sum then all and then we should eject something from this result,, but what?

amistre64 · Answer

thats a bit much work that way; total to total is 1 handshake per everyone right?

anonymous · Answer

yeea

amistre64 · Answer

300(299)/2 = total round of hands once for everyone

add

200(100) for the additional hands for the 100 womens

anonymous · Answer

ok

amistre64 · Answer

44850
20000
-------
64850 total in all

anonymous · Answer

kk

amistre64 · Answer

makes sense?

anonymous · Answer

yess now we do 64850 - a n b??

amistre64 · Answer

1 persons shakes 200 hands; 200
another person shakes the same hands;  +200
another person shakes the same hands; +200

100 people shake the same 200 hands: 100(200) = 20000 handshakes for that part

amistre64 · Answer

lets try the everyone shakes with everyone part on a small scale now...

anonymous · Answer

ok

amistre64 · Answer

10 people shake each others hands;

10.987654321  <-10th person shakes hands with all; 9 hands

  9.87654321  <- 9th person shakes hands with all, except for the 10th, its
                             already been done; so, 8 hands
  8.7654321  <- same logic; 7 hands
  7.654321
  6.54321
  5.4321
  4.321
  3.21
  2.1
  1.0

add up all the shakes? 9+8+7+6+5+4+3+2+1+0 = 45 total

10(9)    90
---- = --- = 45 hands total, same amount right?
  2         2

amistre64 · Answer

300 total people shake hands:

300(299)
-------- = total hands
     2

amistre64 · Answer

44850  <- total hands for all peoples once
20000  <- total extra for the women hands to seniors
------- 
64850   <- total in all

anonymous · Answer

okay got it ^^

anonymous · Answer

thanks you much ^^

amistre64 · Answer

youre welcome :)

anonymous · Answer

and can you help me about my that questiontoo?

anonymous · Answer

lol have some problems with my browser i can't copy link ...

amistre64 · Answer

type it up in a new post and lets see

anonymous · Answer

well ok , but someone explained me that but i couldn't got the process of deriative well