Dịch đề: Chọn bất kỳ ba chữ số từ 1 đến 9 để tạo thành một số gồm 3 chữ số và mỗi chữ số chỉ được chọn một lần. Bao nhiêu trong số này có tổng của tất cả các chữ số bằng 13
choose any three digit from 1 to 9 to from a 3 - digit number and each digit is chosen only once how many of these have the sum of all digit equal to 13
choose any three digit from 1 to 9 to from a 3 - digit number and each digit is chosen only once how many of these have the sum of all digit equal to 13
Combinatorics
21. 15 students join a competition. Only top 5 students can be promoted to next round. How many different way(s) of promotion advance is / are there?
Different way: Cách khác nhau.
22. It is known that there are 8 classes of grade 5 in a primary school. At least how many students are there in grade 5 to ensure there exist 41 students in the same class?
At least: Ít nhất; Ensure: Chắc chắn; Exist: Tồn tại.
23. Choose 3 digits from 1, 2, 3, 4, 6, 8 and 0 to form 3-digit numbers. How many even number(s) greater than 300 is / are there? (The repetition of digits is not allowed)
Digit: Chữ số; 3-digit number: Số có 3 chữ số; Even number: Số chẵn; Greater than: Lớn hơn; Repetition of digits is not allowed: Các chữ số không được lặp lại.
24. A flight of stairs has 10 steps. Peter can go up for 1 step, 2 steps or 3 steps each time. How many way(s) is / are there for Peter to go up the stairs?
Step: Bước; Way: Cách.
25. Numbers are drawn from 80 integers 20 to 99. At least how many number(s) is / are drawn at random to ensure that there are two numbers whose sum is 85?
Integer: Số nguyên; At least: Ít nhất; Random: Ngẫu nhiên; Ensure: Chắc chắn; Sum: Tổng.
~ End of Paper ~
Combinatorics
21. 15 students join a competition. Only top 5 students can be promoted to next round. How many different way(s) of promotion advance is / are there?
Different way: Cách khác nhau.
22. It is known that there are 8 classes of grade 5 in a primary school. At least how many students are there in grade 5 to ensure there exist 41 students in the same class?
At least: Ít nhất; Ensure: Chắc chắn; Exist: Tồn tại.
23. Choose 3 digits from 1, 2, 3, 4, 6, 8 and 0 to form 3-digit numbers. How many even number(s) greater than 300 is / are there? (The repetition of digits is not allowed)
Digit: Chữ số; 3-digit number: Số có 3 chữ số; Even number: Số chẵn; Greater than: Lớn hơn; Repetition of digits is not allowed: Các chữ số không được lặp lại.
24. A flight of stairs has 10 steps. Peter can go up for 1 step, 2 steps or 3 steps each time. How many way(s) is / are there for Peter to go up the stairs?
Step: Bước; Way: Cách.
25. Numbers are drawn from 80 integers 20 to 99. At least how many number(s) is / are drawn at random to ensure that there are two numbers whose sum is 85?
Integer: Số nguyên; At least: Ít nhất; Random: Ngẫu nhiên; Ensure: Chắc chắn; Sum: Tổng.
~ End of Paper ~
The sum of the digits of a ten-digit number is epual to 9.What is the product of the digits of this number?
A 6 digit number begins with the digit 8.The number with divisible by 9 and all digits of the number are different.What is the possible smallest value of this number?
How many natural numbers between 1000 and 4000 are there for which the thousands digit equals the sum of the other three digits?
A,B,C,D,A+C,B+C,A+D,B+D represent 8 diffirent natural numbers from 1 to 8. If A is the largest number in the number from 1 to 8.Find A
How many natural numbers are there between 100 and 999 that unit-digit and tens-digit equal hundreds-digit ?
given the digits from 0 to 5 if repetition is not allowed, how many four-digit codes that are greater than 2000 and divisible by 2 are possible? Answer:...
