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There can be only one permutation of a single number: so the answer is 7.
nPrwhere:n number of objectsr is number of arrangements
January March April May September October
279,999,720
You can't get a permutation of a number, but you can get the permutation of a set of numbers. Take the set {1, 2, 3, 4, 5}. If you move the 1 over to the right 1 or 3 spaces and keep the other numbers in the same order, you have an odd permutation: {2, 1, 3, 4, 5} and {2, 3, 4, 1, 5} in this case. If you move the 1 over to the right 2 or 4 spaces, you have an even permutation: {2, 3, 1, 4, 5} and {2, 3, 4, 5, 1} in this case. If two of the numbers in the set are both oddly permutated, the set as a whole is evenly permutated, kind of like how an odd number multiplied by an odd number is an even number. For example, {2, 1, 4, 3, 5} is an even permutation. However, and I'll let you figure out why on this one, {2, 1, 4, 5, 3} is an odd permutation. There are much more formal ways to describe permutations and many different ways to write them out, as you can see by following the link below, but what I've stated above should get you started with at least a basic comprehension.
September has 9 letter, of which one appears 3 times. So the number of distinct permutations is 9!/3! = 120,960
permutation without replacement
There can be only one permutation of a single number: so the answer is 7.
september
nPrwhere:n number of objectsr is number of arrangements
For the first letter, you can have any of 5 choices. Then for the next, you can have any of four. Then for the next, three and so on. Thus the number of permutations can be calculated by 5x4x3x2x1. Doing this gives 120. Therefore the number of permutations of the letters in the word smart is 120.
The number of 7 letter permutations of the word ALGEBRA is the same as the number of permutation of 7 things taken 7 at a time, which is 5040. However, since the letter A is duplicated once, you have to divide by 2 in order to find out the number of distinct permutations, which is 2520.
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You cannot (answer dated 10 September 2011).
Carbon- sixth element, contains six letters. Mars- fourth planet, contains four letters. Four- fourth number, contains four letters. Seven- seventh number, contains seven letters. September- ninth month, contains nine letters. Saturn- sixth planet, contains six letters. Fifth- fifth number, contains five letters.
January March April May September October
You do not have to figure the permutation. You simply rearrange the order of the numbers that you are presented with. The permutations of the number set 1, 2, 3 include 1, 3, 2, and 2, 1, 3.