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.

Two with only one possible arrangement each and two with nine possible arrangements each. Total number of discs 4 red 3yellow 2 green n 9. The boys are together or they are not. You have 6 black socks 8 white socks and 4 navy blue socks.

The same 4 colors we ve picked them in different orders. Show that three purple marbles and three light blue marbles in two groups of three marbles each can be arranged in four combinations. The total arrangements hasn t changed 120 because we have the same number of marbles. 40 320 b regard the 2 boys as one unit and so there are 7 units to arrange.

Since color are repeating so we use this formula 𝑛 𝑝1 𝑝2 𝑝3. You keep your socks loose in a drawer. No idea how to solve this. A sample of 4 marbles is taken out of the bag.

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. Any help would be much appreciated. So let s say we have 4 slots here. That s factorial 12 11 10 2 1 different arrangements.

But now we have 3 greens and 3 greens can be arranged 6 ways permutations of 3 things one at a time. Notice that drawing two marbles at the same time is the same as drawing two marbles consecutively without replacing the first marble. 2 ways so the required answer is 7. This can be done 7.

9 suppose we have six marbles. 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. We could put as many as five all except one of the reds in any cup.

A black cup a white cup and a purple cup. Thus the actual total arrangements is. But here the 121 objects a. Now with that out of the way let s think about how many different ways we can pick 4 colors.

A this is just 8 people being arranged in a row. 1 slot 2 slot 3 slot and 4 slots. Back to basics the basic idea of permutation is the different arrangements of distinct objects. And at first we care only about how many ways can we pick a color for that slot right there that first slot.

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. For 12 distinct objects in a row there are 12. A bag contains 4 red marbles 3 blue marbles and 5 purple marbles. The only restriction is that the two red marbles can t be in the same cup.

In how many ways can at least 3 marbles be purple.