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.
Three marbles with 2 colors can be aranged.
The boys can be arranged in 2.
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.
A black cup a white cup and a purple cup.
We could put as many as five all except one of the reds in any cup.
Back to basics the basic idea of permutation is the different arrangements of distinct objects.
The same 4 colors we ve picked them in different orders.
Now with that out of the way let s think about how many different ways we can pick 4 colors.
Two with only one possible arrangement each and two with nine possible arrangements each.
Since color are repeating so we use this formula 𝑛 𝑝1 𝑝2 𝑝3.
The boys are together or they are not.
Suppose we are going to put them into three cups.
You keep your socks loose in a drawer.
So let s say we have 4 slots here.
A this is just 8 people being arranged in a row.
2 ways so the required answer is 7.
That s factorial 12 11 10 2 1 different arrangements.
But now we have 3 greens and 3 greens can be arranged 6 ways permutations of 3 things one at a time.
40 320 b regard the 2 boys as one unit and so there are 7 units to arrange.
Total number of discs 4 red 3yellow 2 green n 9.
This can be done 7.
For 12 distinct objects in a row there are 12.
A bag contains 4 red marbles 3 blue marbles and 5 purple marbles.
The total arrangements hasn t changed 120 because we have the same number of marbles.
Answer by edwin mccravy 18145 show source.
You have 6 black socks 8 white socks and 4 navy blue socks.
10 080 c there are only 2 possibilities.
A sample of 4 marbles is taken out of the bag.
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.
In how many ways can at least 3 marbles be purple.
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.
How many ways can i arrange 10 red marbles 5 white marbles and 6 blue marbles in a row.
No idea how to solve this.
3 blue marbles 2 red marbles and one green marble.
Thus the actual total arrangements is.
The only restriction is that the two red marbles can t be in the same cup.