If \(a=2\): \(a+20=22\)is not a prime number.
If \(a=3\): \(a+20=23\), \(a+40=43\)are both prime numbers.
If \(a>3\), we have \(a=3k+1\)or \(a=3k+2\).
- \(a=3k+1\Rightarrow a+20=3k+21⋮3\)is not a prime number.
- \(a=3k+2\Rightarrow a+40=3k+42⋮3\)is not a prime number.
Question 6:
Use all the digits below to form the decimal number that is smaller than 1
How many such numbers are there?
Answer: numbers.
how many decimal numbers are these between 17 and 18 such that have one digit in fraction part ?
Use all the digits below to form the decimal number that is smaller than 5:2,5,9,4,8.How many such numbers are there?
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 ~
Use all the digits below to form the decimal number that is smaller than 1
9, 0, 3, 7, 1
How many such numbers are there?
Answer: numbers.
how many numbers between 7 and 91 are divisible by 9. there are ........ numbers? Ai lgiải hộ mk sẽ được very much like
Use all the digits below to form the decimal number that is smaller than 5
2,5,9,4,8
How many such numbers are there?
Use all the digits below to form the decimal number that is smaller than 5
2, 5, 9, 4, 8
How many such numbers are there?
Answer: numbers.
giúp mình nha! mình tick cho 5 cái
