Suppose we are going to put them into three cups.
Three marbles with 2 colors can be aranged.
The same 4 colors we ve picked them in different orders.
Drawing the first marble we have a chance probability of dfrac 4 10 dfrac 2 5 for it to be black as there are four black marbles and ten marbles in total.
For 12 distinct objects in a row there are 12.
So let s say we have 4 slots here.
Notice that drawing two marbles at the same time is the same as drawing two marbles consecutively without replacing the first marble.
But here the 121 objects a.
9 suppose we have six marbles.
You have 6 black socks 8 white socks and 4 navy blue socks.
Thus the actual total arrangements is.
This can be done 7.
1 slot 2 slot 3 slot and 4 slots.
The boys are together or they are not.
The only restriction is that the two red marbles can t be in the same cup.
A sample of 4 marbles is taken out of the bag.
10 080 c there are only 2 possibilities.
2 ways so the required answer is 7.
No idea how to solve this.
40 320 b regard the 2 boys as one unit and so there are 7 units to arrange.
But now we have 3 greens and 3 greens can be arranged 6 ways permutations of 3 things one at a time.
Back to basics the basic idea of permutation is the different arrangements of distinct objects.
We could put as many as five all except one of the reds in any cup.
3 blue marbles 2 red marbles and one green marble.
Two with only one possible arrangement each and two with nine possible arrangements each.
Total number of discs 4 red 3yellow 2 green n 9.
A bag contains 4 red marbles 3 blue marbles and 5 purple marbles.
Since color are repeating so we use this formula 𝑛 𝑝1 𝑝2 𝑝3.
You keep your socks loose in a drawer.
In how many ways can at least 3 marbles be purple.
Show that three purple marbles and three light blue marbles in two groups of three marbles each can be arranged in four combinations.
A black cup a white cup and a purple cup.
Any help would be much appreciated.
Example 15 in how many ways can 4 red 3 yellow and 2 green discs be arranged in a row if the discs of the same colour are indistinguishable.
Answer by edwin mccravy 18145 show source.
A this is just 8 people being arranged in a row.
The total arrangements hasn t changed 120 because we have the same number of marbles.
Now with that out of the way let s think about how many different ways we can pick 4 colors.
The boys can be arranged in 2.