What are the least common multiple and greatest common factor of 46 and 115?

What are the least common multiple and greatest common factor of 46 and 115?


The greatest common factor of 46 and 115 is 23, and the least common multiple is 230



How many even numbers without repetition and less than 300 can be made up of five numbers 0, 1, 2, 3 and 4?


Bits can only be 0,2,4
Here, if 0 is at the top, consider it a ten digit number
therefore
3 * A4 (2) = 3 * 4 * 3 = 36



Use the five numbers 1, 2, 3, 4 and 5 to form an even number without repetition. How many even numbers are there?
One digit to five digit is OK


According to the principle of multiplication, the last bit can only be 2 or 4
Five digits: 2 * 4 * 3 * 2 * 1 = 48
The four digits are: 2 * 4 * 3 * 2 = 48
The three digits are: 2 * 4 * 3 = 24
The two digits are: 2 * 4 = 8
One digit: 2
So the total is 2 + 8 + 24 + 48 + 48 = 120



By the four numbers of 0, 1, 2 and 3, the even number of three digits without repetition can be formed______ One


There are two cases in which the even number of three digits without repetition is composed of numbers 0, 1, 2 and 3. When the even number of three digits of 0 is A23 = 6, when 0 is not in one digit, put 2 in one digit, then choose one of the remaining two non-zero digits to put it in the first place, and then choose one of the remaining two digits to put it in the tenth place. There are 2 × 2 = 4 methods, so there are 6 + 4 = 10 even number of three digits without repetition So the answer is 10



How many even four digit numbers ()
A. 6B. 10C. 12D. 24


When the last digit is 0, the first three digits are randomly arranged with A33 = 6. When the last digit is 2, the first digit can only be selected from 1 and 3, and then the middle two digits are arranged with A12 · A22 = 4. According to the principle of classification and counting, there are 6 + 4 = 10 even digits without repetition



It can be made up of four numbers: 0, 1, 2 and 3______ Four digits without repetition


There are three ways to determine the highest digit. The remaining three digits are filled in the remaining three digits respectively. According to the principle of step-by-step counting, there are a total of 3a33 = 18 four digits, so the answer is 18



0.1.2.3.4. How many even 4-digit numbers are composed of these 5 numbers


This is a problem of permutation. First of all, consider the digit. The digit must be an even number, and there are three choices. Then there are four numbers left in the ten digit. So there are four choices for the ten digit. In turn, there are three choices for the hundred digit and two choices for the thousand digit, so it is 2 × 3 × 4 × 3 = 72. If the thousand digit is 0, then the thousand digit is determined as 0, and then the choice is 2 × 3 × 2 = 12, so the final answer should be 72-12 = 60



How many even four digit numbers without repetition can be made up of the six numbers 1, 2, 3, 4 and 5?
How many unrepeated five digit numbers can be formed?
How many four digit numbers larger than 1 325 can be made up?
How many six digit numbers can be formed without repetition and the odd number is on the odd number?


With the six numbers of 0, 1, 2, 3, 4 and 5, 300 even numbers without repetition can be formed
When the individual bit is 0, there are 60 kinds of 5 * 4 * 3, when the individual bit is not 0, there are two kinds of choices for the individual bit, four kinds for the ten thousand bit, four kinds for the thousand bit and three kinds for the hundred bit, and there are 96 kinds for the two * 4 * 4 * 3, so there are 156 kinds in total
How many unrepeated five digit numbers can be formed?
When the number of digits is 0, there are 120 choices of other digits 5 * 4 * 3 * 2, and when the number of digits is 5, there are 96 choices of other digits 4 * 4 * 3 * 2, so there are 216 choices in total
How many four digit numbers larger than 1 325 can be made up?
There are a total of 5 * 5 * 4 * 3 = 300 kinds of four digit composition, 1320132413021305 are smaller than that of the 1325; there are 4 * 3 = 12 kinds of four digit composition, and there are 4 * 3 = 12 kinds of four digit composition, so there are 300-1-12-12-5 = 270 kinds of four digit composition
How many six digit numbers can be formed without repetition and the odd number is on the odd number?
You can only choose 2 or 4 in 100000 digits, and the next digits are 3, 2, 2, 1 and 1 respectively, and 2 * 3 * 2 * 2 * 1 * 1 = 24



How many even four digit numbers can 0,1,2,3,4,5 constitute


The arrangement should be: 5 * 5 * 4 * 3 * 2 * 1 = 600



Use 0.1.2.3.4.5. What is the number of even numbers without repetition?


First classification:
1) The last is 0: a (2,5) = 20
2) The last is 2: a (1,4) * a (1,4) = 16
3) The last is 4: a (1,4) * a (1,4) = 16
According to the counting principle of classified addition: 20 + 16 + 16 = 52