Notice that drawing two marbles at the same time is the same as drawing two marbles consecutively without replacing the first marble.
Three marbles with 2 colors can be aranged.
But now we have 3 greens and 3 greens can be arranged 6 ways permutations of 3 things one at a time.
In how many ways can at least 3 marbles be purple.
We could put as many as five all except one of the reds in any cup.
You have 6 black socks 8 white socks and 4 navy blue socks.
And at first we care only about how many ways can we pick a color for that slot right there that first slot.
40 320 b regard the 2 boys as one unit and so there are 7 units to arrange.
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.
How many ways can i arrange 10 red marbles 5 white marbles and 6 blue marbles in a row.
A this is just 8 people being arranged in a row.
That s factorial 12 11 10 2 1 different arrangements.
The same 4 colors we ve picked them in different orders.
The total arrangements hasn t changed 120 because we have the same number of marbles.
Answer by edwin mccravy 18145 show source.
Now with that out of the way let s think about how many different ways we can pick 4 colors.
A black cup a white cup and a purple cup.
No idea how to solve this.
Thus the actual total arrangements is.
The boys can be arranged in 2.
9 suppose we have six marbles.
The boys are together or they are not.
2 ways so the required answer is 7.
You keep your socks loose in a drawer.
Show that three purple marbles and three light blue marbles in two groups of three marbles each can be arranged in four combinations.
Total number of discs 4 red 3yellow 2 green n 9.
3 blue marbles 2 red marbles and one green marble.
So let s say we have 4 slots here.
Any help would be much appreciated.
Since color are repeating so we use this formula 𝑛 𝑝1 𝑝2 𝑝3.
10 080 c there are only 2 possibilities.
For 12 distinct objects in a row there are 12.
Back to basics the basic idea of permutation is the different arrangements of distinct objects.
But here the 121 objects a.
A bag contains 4 red marbles 3 blue marbles and 5 purple marbles.
A sample of 4 marbles is taken out of the bag.
The only restriction is that the two red marbles can t be in the same cup.
Two with only one possible arrangement each and two with nine possible arrangements each.
This can be done 7.