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