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. Two with only one possible arrangement each and two with nine possible arrangements each. 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.

This can be done 7. In how many ways can at least 3 marbles be purple. A this is just 8 people being arranged in a row. Thus the actual total arrangements is.

A black cup a white cup and a purple cup. A sample of 4 marbles is taken out of the bag. 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.

You have 6 black socks 8 white socks and 4 navy blue socks. We could put as many as five all except one of the reds in any cup. 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. Answer by edwin mccravy 18145 show source.

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. Since color are repeating so we use this formula 𝑛 𝑝1 𝑝2 𝑝3. The boys can be arranged in 2.

10 080 c there are only 2 possibilities. Any help would be much appreciated. 9 suppose we have six marbles. 1 slot 2 slot 3 slot and 4 slots.

So let s say we have 4 slots here. The same 4 colors we ve picked them in different orders. The only restriction is that the two red marbles can t be in the same cup. 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. The total arrangements hasn t changed 120 because we have the same number of marbles. A bag contains 4 red marbles 3 blue marbles and 5 purple marbles. 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. For 12 distinct objects in a row there are 12. 2 ways so the required answer is 7. Show that three purple marbles and three light blue marbles in two groups of three marbles each can be arranged in four combinations.

3 blue marbles 2 red marbles and one green marble.