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How many ways can 13 books be arranged?
24 different ways. For each of the four possible first spots, there are three possible second spots, two possible third spots, and then the last spot is the one left over. So there are 4! (four factorial) possible arrangements.
A box has 5 red and 4 blue balls- in how many ways can 4 balls be chosen such that there are at most 3 balls of each color?
This is a combination problem because you have to assess a subgroup without a particular order. I find it easiest to first deduce what the total number of arrangements are and then subtract from there. Firstly, There are a total of 9 balls getting assigned to a group of 4. So, to get our total, we use 9C4, which equals 9!/(4!*5!)=126. This means there are a total of 126 arrangements regardless of order. However, this number also includes the combination of 4 like-colored balls we're told to avoid. To calculate the number of arrangements for 4 like-colored balls we set up a separate subgroup for each color. For red balls the possible arrangement are 5C4, which is 5!/(4!*1!)=5. For blue balls the possible arrangements are 4C4, which is 4!/(4!*0!)=1 (remember that 0!=1). So the total number of like-colored arrangements is 5+1=6. Now we just subtract the exceptions from the total to get the answer...126-6=120
How many different arrangements of the letters of the word doodle are possible?
There are 180 different arrangements, you may punch in 6! to your calculator and get 720 and think this is right but you have to take into account that "d" and "o" and doubled, so, the arrangements will give you a different answer. 6*5*4*3*2*1/4= 180 180 arrangements. :)
How many ways can you arrange the letters PARTY if the first letter must be an A?
The number of arrangements of the letters PARTY, if the first letter must be an A is the same as the number of arrangements of the letters PRTY, and that is 4 factorial, or 24.
How many different arrangements of the letters in the word COLOR are there?
If you pick from each of the possible letters at each stage, then there are 5 possible options for the first letter. Then there are 4 possible options for the second. Then there are 3 possible options for the 3rd and so on. This leaves us with 5x4x3x2 = 120 different arrangements. However, each arrangement has been counted twice, as it doesn't matter which way around the Os go. So to get the true answer, we need to divide by 2. 120/2 = 60, and therefore the number of different arrangements of the letters in the word COLOR is 60.
How many arrangements are possible with the numbers 3 4 8 9 11 and 13?
6*5*4*3*2*1 = 720
What is you over 4 as a decimal?
Since "you" is not a number it is not possible to give a answer other than u/4 = 0.25u.Since "you" is not a number it is not possible to give a answer other than u/4 = 0.25u.Since "you" is not a number it is not possible to give a answer other than u/4 = 0.25u.Since "you" is not a number it is not possible to give a answer other than u/4 = 0.25u.
What is the greatest number of arrangements?
We can't answer this accurately unless you tell us what you would like to have arranged.
How many different combinations of 4 books can be chosen from 6 books?
The number of 4 different book combinations you can choose from 6 books is;6C4 =6!/[4!(6-4)!] =15 combinations of 4 different books.
What adds to get 3 and multiplies to get 4?
{-1, -1, 1 and 4} is one of an infinite number of possible answers.{-1, -1, 1 and 4} is one of an infinite number of possible answers.{-1, -1, 1 and 4} is one of an infinite number of possible answers.{-1, -1, 1 and 4} is one of an infinite number of possible answers.
How many different arrangements can be made with the letters in the word MOVIE?
5! 5 * 4 * 3 * 2 *1 = 120 arrangements you take the number of letters in the words and make it a factorial.
How many different seating arrangements are possible for 6 people in 4 chairs?
Her is the order matters, then it is P(6,4)= 6*5=30.
