Three Marbles With 2 Colors Can Be Aranged

And at first we care only about how many ways can we pick a color for that slot right there that first slot.

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. That s factorial 12 11 10 2 1 different arrangements. Total number of discs 4 red 3yellow 2 green n 9. 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 here the 121 objects a. Two with only one possible arrangement each and two with nine possible arrangements each. 9 suppose we have six marbles. 1 slot 2 slot 3 slot and 4 slots.

So let s say we have 4 slots here. But now we have 3 greens and 3 greens can be arranged 6 ways permutations of 3 things one at a time. 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.

You have 6 black socks 8 white socks and 4 navy blue socks. For 12 distinct objects in a row there are 12. The same 4 colors we ve picked them in different orders. This can be done 7.

A black cup a white cup and a purple cup. Suppose we are going to put them into three cups. A sample of 4 marbles is taken out of the bag. 10 080 c there are only 2 possibilities.

Back to basics the basic idea of permutation is the different arrangements of distinct objects. Notice that drawing two marbles at the same time is the same as drawing two marbles consecutively without replacing the first marble. The boys are together or they are not. 3 blue marbles 2 red marbles and one green marble.

We could put as many as five all except one of the reds in any cup. No idea how to solve this. Thus the actual total arrangements is. A this is just 8 people being arranged in a row.

Answer by edwin mccravy 18145 show source. Any help would be much appreciated. You keep your socks loose in a drawer. 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.

In how many ways can at least 3 marbles be purple. How many ways can i arrange 10 red marbles 5 white marbles and 6 blue marbles in a row. Show that three purple marbles and three light blue marbles in two groups of three marbles each can be arranged in four combinations. 2 ways so the required answer is 7.

The only restriction is that the two red marbles can t be in the same cup.