Three Marbles With 2 Colors Can Be Aranged

Suppose we are going to put them into three cups.

Three marbles with 2 colors can be aranged.

We could put as many as five all except one of the reds in any cup. A sample of 4 marbles is taken out of the bag. In how many ways can at least 3 marbles be purple. But now we have 3 greens and 3 greens can be arranged 6 ways permutations of 3 things one at a time.

A this is just 8 people being arranged in a row. 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. This can be done 7.

Now with that out of the way let s think about how many different ways we can pick 4 colors. The same 4 colors we ve picked them in different orders. A bag contains 4 red marbles 3 blue marbles and 5 purple marbles. That s factorial 12 11 10 2 1 different arrangements.

Total number of discs 4 red 3yellow 2 green n 9. But here the 121 objects a. No idea how to solve this. The boys can be arranged in 2.

The boys are together or they are not. The total arrangements hasn t changed 120 because we have the same number of marbles. Show that three purple marbles and three light blue marbles in two groups of three marbles each can be arranged in four combinations. Two with only one possible arrangement each and two with nine possible arrangements each.

The only restriction is that the two red marbles can t be in the same cup. 40 320 b regard the 2 boys as one unit and so there are 7 units to arrange. 3 blue marbles 2 red marbles and one green marble. 2 ways so the required answer is 7.

Since color are repeating so we use this formula 𝑛 𝑝1 𝑝2 𝑝3. 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. 9 suppose we have six marbles. So let s say we have 4 slots here.

How many ways can i arrange 10 red marbles 5 white marbles and 6 blue marbles in a row. 10 080 c there are only 2 possibilities. A black cup a white cup and a purple cup. 1 slot 2 slot 3 slot and 4 slots.

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. For 12 distinct objects in a row there are 12. Notice that drawing two marbles at the same time is the same as drawing two marbles consecutively without replacing the first marble.

You keep your socks loose in a drawer.