Three Marbles With 2 Colors Can Be Aranged

We could put as many as five all except one of the reds in any cup.

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. The same 4 colors we ve picked them in different orders. The boys can be arranged in 2. But here the 121 objects a.

That s factorial 12 11 10 2 1 different arrangements. Notice that drawing two marbles at the same time is the same as drawing two marbles consecutively without replacing the first marble. A sample of 4 marbles is taken out of the bag. Two with only one possible arrangement each and two with nine possible arrangements each.

9 suppose we have six marbles. The boys are together or they are not. 3 blue marbles 2 red marbles and one green marble. 10 080 c there are only 2 possibilities.

Show that three purple marbles and three light blue marbles in two groups of three marbles each can be arranged in four combinations. A this is just 8 people being arranged in a row. Since color are repeating so we use this formula 𝑛 𝑝1 𝑝2 𝑝3. And at first we care only about how many ways can we pick a color for that slot right there that first slot.

Total number of discs 4 red 3yellow 2 green n 9. In how many ways can at least 3 marbles be purple. The total arrangements hasn t changed 120 because we have the same number of marbles. Answer by edwin mccravy 18145 show source.

Any help would be much appreciated. A black cup a white cup and a purple cup. The only restriction is that the two red marbles can t be in the same cup. A bag contains 4 red marbles 3 blue marbles and 5 purple marbles.

This can be done 7. For 12 distinct objects in a row there are 12. 40 320 b regard the 2 boys as one unit and so there are 7 units to arrange. Thus the actual total arrangements is.

So let s say we have 4 slots here. You have 6 black socks 8 white socks and 4 navy blue socks. 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. Suppose we are going to put them into three cups.

You keep your socks loose in a drawer. How many ways can i arrange 10 red marbles 5 white marbles and 6 blue marbles in a row. Back to basics the basic idea of permutation is the different arrangements of distinct objects. 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.