Weegy: There are six different ways to arrange any three letters
There are 4 ways to pick 3 letters from 4. [ (think of it as how many ways can I leave one of the letters out)
4*6=24
so for abcd these are your 24 different ways:
abc acb bac bca cab cba
acb adb bad bda dab dba
acd adc cad cda dac dca
bcd bdc cbd cdb dbc dcb
Answer is 24
]
User: Which expression represents the number of circular permutations of n things?
n!
(n - 1)!
n!/(n - 1)!
Weegy: There are two cases of circular-permutations:-
(a) If clockwise and anti clock-wise orders are different, [ then total number of circular-permutations is given by (n-1)!
(b) If clock-wise and anti-clock-wise orders are taken as not different, then total number of circular-permutations is given by (n-1)!/2! tutors4you.com/circularpermutations.htm ]
User: How many different colored flags can be made from 10 colors of cloth if each flag is to consist of 3 different stripes?
Weegy: The answer is 720 flags. [ 3)
Each flag is to consist of 3 different stripes...again there is ambiguity as to whether or not a "unique" flag means it has the same colors or the same colors AND the same order...
In fact, if you really think about this one what if you have two flags:
red, green, blue
and
blue, green, red
Are these two flags unique? Not if you turn one of them around, but do we count that?
So my assumption is that order DOES matter, so again we just taking 10 items and seeing how many ways we can order 3 of them:
1st stripe: 10
2nd stripe: 9
3rd stripe: 8
- >
10*9*8 = 90*8 = 720 ]
User: How many different ways could eight students sit in a semicircle to watch an experiment?
Weegy: Eight student can sit in 8! different ways in a semi-circle. 8! = 40320.
User: How many different gardens can a farmer plant if he wants one row each of six vegetables?
(More) 3
The sun is not inherently red; it appears as a white star, but can appear red or orange when near the horizon due to the scattering of light by Earth's atmosphere.
Added 11/4/2023 11:00:42 PM
This answer has been confirmed as correct and helpful.
3
If the farmer wants one row of each of six different vegetables, and the order in which they are planted matters, he can plant (6!) (6 factorial) different gardens, which equals 720 different arrangements.
Solution:
6!
6×5×4×3×2×1 = 720
Added 11/4/2023 11:02:59 PM
This answer has been confirmed as correct and helpful.