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Consider the word Mississippi find the total number of distinct permutations of its letters?
Wiki User
∙ 8y ago
There are 11 letters in all, so there are a total of 11! = 39,916,800 permutations. The letter 'i' appears 4 times, so every distinct permutation will be duplicated 4! = 24 times, so we divide the total by 24. Similarly, the letter 's' appears 4 times so we divide again by 24. Finally, we divide by two because half the remaining permutations have transposed the letter p. Thus we get 11! / (4! * 4! * 2!) = 34,650 distinct permutations.
Wiki User
∙ 8y ago
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How many arrangements can be made with the letters spineless?
The word "spineless" has 9 letters, including 3 s's and 2 e's, so the number of distinct permutations of the letters is: 9!/(3!2!) = 30,240
How many distinct ordered arrangements can be made with the letters of mississippi?
There are 34650 distinct orders.There are 34650 distinct orders.There are 34650 distinct orders.There are 34650 distinct orders.
How many ways can you arrange the letters oversimplification?
> 6.40237371 × 1015Actually, since there are four i's and two o's, the number of distinct permutations of the letters in "oversimplification" is 18!/(4!2!) = 133,382,785,536,000.
How many permutations are there of the letters math?
24
How many permutations are there of the latters of the word numbers?
There are 7 factorial, or 5040 permutations of the letters in the word NUMBERS.
How many permutations of letters in word swimming?
The number of permutations of the letters SWIMMING is 8 factorial or 40,320. The number of distinct permutations, however, due to the duplication of the letters I and M is a factor of 4 less than that, or 10,080.
How many permutations of the letters in the word Louisiana are there?
The number of permutations of the letters in the word LOUISIANA is 9 factorial or 362,880. However, since the letters I and A are each repeated once, you need to divide that by 4 to determine the number of distinct permutations, giving you 90,720.
How many distinguishable permutations are there of the letters in the word effective?
The number of permutations of the letters EFFECTIVE is 9 factorial or 362,880. To determine the distinct permutations, you have to compensate for the three E's (divide by 4) and the two F's (divide by 2), giving you 45,360.
How many arrangements of the letters in the word SCHOOLS are there?
The number of permutations of the letters in the word SCHOOLS is the number of permutations of 7 things taken 7 at a time, which is 5040. However, since two of the letters, S and O, are duplicated, the number of distinct permutations is one fourth of that, or 1260.
How many ways are there to arrange the letters in the word ADDRESS if the two Ds must be together?
The permutations of the letters ADDRESS if the two D's must be together is the same as the permutations of the letters ADRESS, which is 6 factorial, or 720, divided by 2, to compensate for the two S's, which means that the number of distinct permutations of the letters ADDRESS, where the two DD's must be together is 360.
Question 4 how many different permutations of the letters in the word Mississippi are there?
There are 11!/(4!*4!*2!) = 34,650 ways.
What are distinct letters of Mississippi?
MS is the U.S. Postal Service abbreviation for the state of Mississippi. Miss. also is used as an abbreviation for Mississippi.
How many arrangements can be made with the letters spineless?
The word "spineless" has 9 letters, including 3 s's and 2 e's, so the number of distinct permutations of the letters is: 9!/(3!2!) = 30,240
How do you calculate distinguishable permutations?
The number of permutations of n distinct objects is n! = 1*2*3* ... *n. If a set contains n objects, but k of them are identical (non-distinguishable), then the number of distinct permutations is n!/k!. If the n objects contains j of them of one type, k of another, then there are n!/(j!*k!). The above pattern can be extended. For example, to calculate the number of distinct permutations of the letters of "statistics": Total number of letters: 10 Number of s: 3 Number of t: 3 Number of i: 2 So the answer is 10!/(3!*3!*2!) = 50400
How many distinct ordered arrangements can be made with the letters of mississippi?
There are 34650 distinct orders.There are 34650 distinct orders.There are 34650 distinct orders.There are 34650 distinct orders.
How many ways can you arrange the letters oversimplification?
> 6.40237371 × 1015Actually, since there are four i's and two o's, the number of distinct permutations of the letters in "oversimplification" is 18!/(4!2!) = 133,382,785,536,000.
How many distinct arrangements can be made with the letters in the word BOXING?
The number of distinct arrangements of the letters of the word BOXING is the same as the number of permutations of 6 things taken 6 at a time. This is 6 factorial, which is 720. Since there are no duplicated letters in the word, there is no need to divide by any factor.
