Three Marbles With 2 Colors Can Be Aranged

You keep your socks loose in a drawer.

Three marbles with 2 colors can be aranged.

The boys are together or they are not. In how many ways can at least 3 marbles be purple. 2 ways so the required answer is 7. 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.

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. But now we have 3 greens and 3 greens can be arranged 6 ways permutations of 3 things one at a time. This can be done 7. Show that three purple marbles and three light blue marbles in two groups of three marbles each can be arranged in four combinations.

9 suppose we have six marbles. 3 blue marbles 2 red marbles and one green marble. The boys can be arranged in 2. Notice that drawing two marbles at the same time is the same as drawing two marbles consecutively without replacing the first marble.

Thus the actual total arrangements is. A this is just 8 people being arranged in a row. 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.

A sample of 4 marbles is taken out of the bag. For 12 distinct objects in a row there are 12. That s factorial 12 11 10 2 1 different arrangements. But here the 121 objects a.

Total number of discs 4 red 3yellow 2 green n 9. Any help would be much appreciated. 10 080 c there are only 2 possibilities. Since color are repeating so we use this formula 𝑛 𝑝1 𝑝2 𝑝3.

A black cup a white cup and a purple cup. 40 320 b regard the 2 boys as one unit and so there are 7 units to arrange. So let s say we have 4 slots here. Suppose we are going to put them into three cups.

No idea how to solve this. 1 slot 2 slot 3 slot and 4 slots. And at first we care only about how many ways can we pick a color for that slot right there that first slot. 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. Answer by edwin mccravy 18145 show source. We could put as many as five all except one of the reds in any cup. Back to basics the basic idea of permutation is the different arrangements of distinct objects.

How many ways can i arrange 10 red marbles 5 white marbles and 6 blue marbles in a row.