Three Marbles With 2 Colors Can Be Aranged

And at first we care only about how many ways can we pick a color for that slot right there that first slot.

Three marbles with 2 colors can be aranged.

This can be done 7. We could put as many as five all except one of the reds in any cup. Since color are repeating so we use this formula 𝑛 𝑝1 𝑝2 𝑝3. The total arrangements hasn t changed 120 because we have the same number of marbles.

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. 2 ways so the required answer is 7. 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.

Show that three purple marbles and three light blue marbles in two groups of three marbles each can be arranged in four combinations. 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. That s factorial 12 11 10 2 1 different arrangements. 3 blue marbles 2 red marbles and one green marble.

You keep your socks loose in a drawer. Now with that out of the way let s think about how many different ways we can pick 4 colors. 1 slot 2 slot 3 slot and 4 slots. Any help would be much appreciated.

The same 4 colors we ve picked them in different orders. A black cup a white cup and a purple cup. 10 080 c there are only 2 possibilities. A sample of 4 marbles is taken out of the bag.

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. Two with only one possible arrangement each and two with nine possible arrangements each. So let s say we have 4 slots here.

A bag contains 4 red marbles 3 blue marbles and 5 purple marbles. The boys are together or they are not. The boys can be arranged in 2. But now we have 3 greens and 3 greens can be arranged 6 ways permutations of 3 things one at a time.

No idea how to solve this. 9 suppose we have six marbles. The only restriction is that the two red marbles can t be in the same cup. You have 6 black socks 8 white socks and 4 navy blue socks.

In how many ways can at least 3 marbles be purple. But here the 121 objects a. Thus the actual total arrangements is. For 12 distinct objects in a row there are 12.

Answer by edwin mccravy 18145 show source.