Three Marbles With 2 Colors Can Be Aranged

A this is just 8 people being arranged in a row.

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. A bag contains 4 red marbles 3 blue marbles and 5 purple marbles. You have 6 black socks 8 white socks and 4 navy blue socks. That s factorial 12 11 10 2 1 different arrangements.

Two with only one possible arrangement each and two with nine possible arrangements each. The same 4 colors we ve picked them in different orders. So let s say we have 4 slots here. This can be done 7.

Any help would be much appreciated. Suppose we are going to put them into three cups. Now with that out of the way let s think about how many different ways we can pick 4 colors. The boys can be arranged in 2.

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. We could put as many as five all except one of the reds in any cup. 40 320 b regard the 2 boys as one unit and so there are 7 units to arrange. For 12 distinct objects in a row there are 12.

9 suppose we have six marbles. 3 blue marbles 2 red marbles and one green marble. 1 slot 2 slot 3 slot and 4 slots. Since color are repeating so we use this formula 𝑛 𝑝1 𝑝2 𝑝3.

10 080 c there are only 2 possibilities. Total number of discs 4 red 3yellow 2 green n 9. 2 ways so the required answer is 7. Back to basics the basic idea of permutation is the different arrangements of distinct objects.

A sample of 4 marbles is taken out of the bag. And at first we care only about how many ways can we pick a color for that slot right there that first slot. The total arrangements hasn t changed 120 because we have the same number of marbles. No idea how to solve this.

Answer by edwin mccravy 18145 show source. You keep your socks loose in a drawer. The boys are together or they are not. How many ways can i arrange 10 red marbles 5 white marbles and 6 blue marbles in a row.

Thus the actual total arrangements is. 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. Notice that drawing two marbles at the same time is the same as drawing two marbles consecutively without replacing the first marble.

Show that three purple marbles and three light blue marbles in two groups of three marbles each can be arranged in four combinations.