anonymous
  • anonymous
In how many ways can 1 man and 1 woman, in that order, be selected from 7 men and 8 women?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
7C1 * 8C1
anonymous
  • anonymous
in that order : \[7\times 8\]
anonymous
  • anonymous
=56

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anonymous
  • anonymous
is that the formula?
anonymous
  • anonymous
no that is the 'multiplication principle' which says if i can do one thing n ways and another thing m ways then the number of way i can do them both is n times m
anonymous
  • anonymous
like those problems that say you have 3 choice of appetizer, 4 of entrées and 2 desserts then you have 3*4*2 different possible meals
anonymous
  • anonymous
A department store manager wants to display 7 brands of a product along one shelf of an aisle. In how many ways can he arrange the brands? so you would do 7*1?
anonymous
  • anonymous
think that you have seven slots in which to put 7 items. you have 7 choices for the first one. so far 7 ways
anonymous
  • anonymous
now one brand is used and so you have 6 choices for the next slot. so far 7*6
anonymous
  • anonymous
now you have 5 choices for the fifth slot, 4 choices for the 4th etc. and you have to multiply all these together by the multiplication principle
anonymous
  • anonymous
answer is \[7\times 6\times 5\times 4\times 3\times 2 \times 1\]
anonymous
  • anonymous
this number is also written as 7!
anonymous
  • anonymous
ur awesome lol
anonymous
  • anonymous
ty
anonymous
  • anonymous
i have a worksheet on scp im reading the textbook but it dosent break it down for me to good so im just trying to understand it
anonymous
  • anonymous
scp?
anonymous
  • anonymous
sequential counting principle
anonymous
  • anonymous
got it any more ?
anonymous
  • anonymous
o yea lol
anonymous
  • anonymous
got time for one more if you want to ask
anonymous
  • anonymous
At a high school cafeteria, diners can choose one vegetable from a choice of 4 vegetables, one meat from a choice of 3 meats, one serving of bread from among 4 breads, and a dessert from among 2 desserts. How many meal configurations are possible?
anonymous
  • anonymous
lol
anonymous
  • anonymous
we just did this remember? look above!
anonymous
  • anonymous
i would do 4*3*4*2?
anonymous
  • anonymous
xactly
anonymous
  • anonymous
yes but what confused me is when it says choose one vegetable from a choice of 4 vegetables,
anonymous
  • anonymous
so i thougt i had to do the 4*3*2*1
anonymous
  • anonymous
yes one choice of the 4, so you have 4 choices. silly english i know, but that is what it means.
anonymous
  • anonymous
now i will go have lunch myself. you look to be in good shape for this.
anonymous
  • anonymous
have a good lunch.. wish i can buy for helping me

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