math

posted by .

If you put all 720 permutations of the digits 1 through 6 in numerical order from least to greatest (ex. 123456, 123465 etc.) What would the 409 permutation be? How do I do it?

• math -

Each permutaion of five numbers, following the first, has 120 possibilities. Therefore there are 360 numbers begining with 1, 2, or 3, and you are looking for the 49th number beginning with 4.

4! = 24 numbers will begin with each two-number combination. 361 through 384 will begin with 41. 385 through 408 will begin with 42. Therefore your number will be the first (smallest) number begining with 43.

What would that be?
431256

Similar Questions

1. Finite Math

Please help with this problem. In a student writing contest with 25 entries, 3 essays are selected for first, second, and third place awards and 5 are selected for honorable mention. How many ways can this be done?
2. Algebra 2

What is the determinant of -2 -3 5 0 15 How you get 15 Use the definition of a determinant. From the first column you take take the element that is in the position of a permutation of 1, from the second you take the element that is …
3. Math

How do you order these fractions least to the greatest, 4/7, 1/2, 3/5, 2/3?
4. math

Ted put several different integers in order from least to greatest. He then put the same integers in order from greatest to least. Both times the same number was third in order. Explain how this is possible.
5. Math

Ted put several different integers in order from least to greatest. He then put the same integers in order from greatest to least. Both times the same n umber was third in order.
6. math

ted put several different integers in order from least to greatest . he then put the same integers in order from greatest to least . both times the same number was third in order . explain how this is possible
7. Math

Ted put several different integers in order from least to greatest. He then put the same integers in order from greatest to least. Both times the same number was third in order. Explain how this is possible.
8. Math

Ted put several different integers in order from least to greatest. He then put the same integers in order from greatest to least. Both times the same number was third in order. Explain how this is possible.
9. maths

Let P=(p1,p2,…,p7) be a permutation of the integers 1,2,…7. For how many permutations P are all seven sums S1=p1,S2=p1+p2,…,S7=p1+p2+⋯+p7 not multiples of 3?
10. Math

Sorry i need to get an A. 1. Put these rational numbers in order from smallest to largest. 3/4= 0.75, 2/7=0.287, 2/10=0.2, 5/8= 0.66, 8/4=2 2/10, 2/7, 5/8, 3/4, 8/4 ?

More Similar Questions