Three Marbles With 2 Colors Can Be Aranged

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.

Three marbles with 2 colors can be aranged. Suppose we are going to put them into three cups. A bag contains 4 red marbles 3 blue marbles and 5 purple marbles. In how many ways can at least 3 marbles be purple. 9 suppose we have six marbles.

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. For 12 distinct objects in a row there are 12. The same 4 colors we ve picked them in different orders.

Total number of discs 4 red 3yellow 2 green n 9. 1 slot 2 slot 3 slot and 4 slots. So let s say we have 4 slots here. 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. 10 080 c there are only 2 possibilities. You keep your socks loose in a drawer. Thus the actual total arrangements is.

This can be done 7. A sample of 4 marbles is taken out of the bag. We could put as many as five all except one of the reds in any cup. The boys can be arranged in 2.

3 blue marbles 2 red marbles and one green marble. 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. 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.

The only restriction is that the two red marbles can t be in the same cup. Since color are repeating so we use this formula 𝑛 𝑝1 𝑝2 𝑝3. Two with only one possible arrangement each and two with nine possible arrangements each. How many ways can i arrange 10 red marbles 5 white marbles and 6 blue marbles in a row.

2 ways so the required answer is 7. You have 6 black socks 8 white socks and 4 navy blue socks. 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.

But here the 121 objects a. 40 320 b regard the 2 boys as one unit and so there are 7 units to arrange. That s factorial 12 11 10 2 1 different arrangements. And at first we care only about how many ways can we pick a color for that slot right there that first slot.

Any help would be much appreciated.