How many ways can 7 potted plants be arranged on a window sill?
2006-08-26 08:50:04 · 19 answers · asked by this isnt my name. 1 in Science & Mathematics ➔ Mathematics
how is it 5040?
2006-08-26 08:57:08 · update #1
an infinity since your problem is not a combination problem .
moving a potted plant 1 millimeter to the left without moving thee others give you a new plant arrangement.
this comes from the fact that your window sill is a portion of R or R² (depending on the way you see it), and not of N.
However, if you have a weird window sill (in a N space, not R), then the very 1st answer is the right one. (7!)
2006-08-26 08:57:40 · answer #1 · answered by Anonymous · 1⤊ 1⤋
If they are 7 different planet and you are going to put them in a line, then the correct answer is 7!=5040. Wye? Because you ca n think there are 7 position for these 7 planet. You can put every of them in the first position. So you have 7 choices.For the second position you have 6 choices. For the third one you have 5 choices and goes to the last position that you have only 1 choice.Therefore, totally you have 7*6*5*4*3*2*1=7!=5040 choices
2006-08-26 16:46:31 · answer #2 · answered by Arash 3 · 0⤊ 0⤋
7!=5040
Say for instance ,you start arranging from the right side of the window sill. At the first place you can put any of the 7 plants, on the second - any of the remaining 6, on the 3rd - any of 5 and so on.
so you will get 7*6*5*4*3*2*1 different solutions , which equals 5040.
2006-08-26 15:58:22 · answer #3 · answered by gindindm 2 · 0⤊ 1⤋
Assuming the pots are arranged in a row, the 1st posn.can be filled in 7 different ways. After filling the 1st posn.,the 2nd posn. can be filled with any of the remaining 6 pots, hence in 6 different ways. And so on with the other posns.
The total number of different ways the plotted plants can be arranged is 7*6*5*4*3*2*1= factorial 7=5040
2006-08-26 16:02:51 · answer #4 · answered by rabi k 2 · 0⤊ 0⤋
7 possible plants for the first spot
that leaves 6 possible plants for the second place
5 for the next, 4, 3, 2, and then 1
Number of possibile arrangements: 7*6*5*4*3*2*1 =
42*20*6
=5040
2006-08-26 16:37:22 · answer #5 · answered by Anonymous · 0⤊ 0⤋
7
2006-08-26 15:55:41 · answer #6 · answered by Anonymous · 0⤊ 2⤋
7! Which is seven factorial
7!=5040
EDIT
7 factorial = 7*6*5*4*3*2*1=5040
2006-08-26 15:54:57 · answer #7 · answered by coach_pearce 2 · 3⤊ 0⤋
7! = 5040
Heres how you get it
1 has 1 way
1,2 have 2 ways
1,2,3 have 6 ways
1,2,3,4 have 24 ways
1,2,3,4,5 have 120 ways
1,2,3,4,5,6 have 720 ways
1,2,3,4,5,6,7 have 5040 ways
2006-08-26 16:02:20 · answer #8 · answered by Sherman81 6 · 0⤊ 0⤋
Depends on potted plants. If we assume "n" of then are similar then the answer would be 7! / n!
2006-08-26 15:59:53 · answer #9 · answered by Anonymous · 0⤊ 1⤋
49
2006-08-26 15:55:15 · answer #10 · answered by nas88car300 7 · 0⤊ 2⤋