Three Marbles With 2 Colors Can Be Aranged

40 320 b regard the 2 boys as one unit and so there are 7 units to arrange.

Three marbles with 2 colors can be aranged.

This can be done 7. But here the 121 objects a. And at first we care only about how many ways can we pick a color for that slot right there that first slot. But now we have 3 greens and 3 greens can be arranged 6 ways permutations of 3 things one at a time.

The boys are together or they are not. Two with only one possible arrangement each and two with nine possible arrangements each. No idea how to solve this. Answer by edwin mccravy 18145 show source.

Back to basics the basic idea of permutation is the different arrangements of distinct objects. A this is just 8 people being arranged in a row. In how many ways can at least 3 marbles be purple. 2 ways so the required answer is 7.

A black cup a white cup and a purple cup. 3 blue marbles 2 red marbles and one green marble. A sample of 4 marbles is taken out of the bag. 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. Show that three purple marbles and three light blue marbles in two groups of three marbles each can be arranged in four combinations. A bag contains 4 red marbles 3 blue marbles and 5 purple marbles. 9 suppose we have six marbles.

Suppose we are going to put them into three cups. 10 080 c there are only 2 possibilities. The boys can be arranged in 2. Now with that out of the way let s think about how many different ways we can pick 4 colors.

We could put as many as five all except one of the reds in any cup. Total number of discs 4 red 3yellow 2 green n 9. The only restriction is that the two red marbles can t be in the same cup. The same 4 colors we ve picked them in different orders.

The total arrangements hasn t changed 120 because we have the same number of marbles. So let s say we have 4 slots here. 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. 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.

1 slot 2 slot 3 slot and 4 slots. You have 6 black socks 8 white socks and 4 navy blue socks. You keep your socks loose in a drawer. Since color are repeating so we use this formula 𝑛 𝑝1 𝑝2 𝑝3.

Any help would be much appreciated.