Answer:
Step-by-step explanation:
The set {1,2,3,4,5,6} has a total of 6! permutations
a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit.
b. The next 120, including the 124th, would begin with '2'
c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1
d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3
e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 (numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126).
Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and one with 5 digit 6 (number 124).
∴ The 124th number is 213564
Similarly reversing the above procedure we can determine the position of 321546 to be 267th on the list.
Answer:
The distance between two points on a number line can be found by taking the <u>absolute value</u> of the <u>difference</u> of the coordinates.
Step-by-step explanation:
- Every point can be paired with a number on a number line
- The coordinate is the number associated with a point
- To find the distance between point A and B you subtract the coordinates in any order you like and take the absolute value.
The one next to 3 is 12, the one next to 7 is 28, the one next to 12 is 48. All you have to do is multiply the quads by four and you get the number of wheels.
Answer:
5.5 pints is the answer to this