mathmath333
  • mathmath333
Counting question
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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mathmath333
  • mathmath333
|dw:1440018965335:dw|
mathmath333
  • mathmath333
There are 8 letter A,B,C,D,E,F,G,H In a table in how many ways can the 8 letters be arranged such that A,B,C are only placed in column 1 and E,F are placed only in column 2.
phi
  • phi
how many ways to put A,B,C in the first column?

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phi
  • phi
(and leave the last slot in column 1 empty)
mathmath333
  • mathmath333
4*3*2
phi
  • phi
yes, I would 4 places to put A, 3 to put B, 2 to put C next , we fill the last slot , but we cant use A,B,C , E , F that leaves D,G,H so 4*3*2*3 to fill the first column
mathmath333
  • mathmath333
ok
phi
  • phi
4*3 to fill the 2nd column with E and F that leaves 2 slots and 2 letters 4*3*2 so all together 4*3*2*3 * 4*3*2
mathmath333
  • mathmath333
why didnt u add like 4*3*2*3+4*3*2
phi
  • phi
we have 4*3*2*3 = 72 ways to fill the first column 1 say we had only 1 slot for column2 and we could put in A , B or C if we put in A in the second column, then we would have 72 patterns if we put in B we have the same 72 patterns but with a B , so different from the first set ditto for C in other words, if we have 6 patterns in the first column and 6 in the 2nd, we multiply to get the number of different patterns.
anonymous
  • anonymous
4*3*2*4*3 *3! 4*3*2 for abc 4*3 for ef then 3! for the remaining
anonymous
  • anonymous
|dw:1440023019651:dw|

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