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