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:...
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Choose 3 digits from 8, 6, 0, 5, 2 and 1 to form 3-digit numbers. How many odd numbers
are there? (The repetition of digits is not allowed)giúp me với
Combinatorics21. 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. H...
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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.
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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 ~
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Combinatorics21. 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. H...
Đọc tiếp
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 ~
choose 3 digits from 1, 3, 4, 5, 9 to form 3-digit numbers. how many number(s) that can be divisible by 5 is / are there?
choose 3 digits from 1, 3, 4, 5, 9 to form 3-digit numbers. how many number(s) that can be divisible by 5 is / are there?
How many 5- digit numbers are greater than 40000 that ues the digits 1,2,3,4 and 5, and the digits cannot be repeated
Hundreds of thousands: 1 option
Tens of thousands: 4 options
Thousands: 3 options
Hundreds: 2 options
Units: 1 option
It have \(1\cdot4\cdot3\cdot2\cdot1=24\left(number\right)\)
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how many distinct 4 digit numbers are divisible by 2 can be from digits 0, 2, 5, 6, 9
Question 10: If we write all of the whole numbers from 10 through 99 and cross out any number in which the first or second digit is divisible by 2 (for example, 41 is crossed out as 4 is divisible by 2 and 36 is crossed out as 6 is divisible by 2), how many numbers are crossed out? Answer: numbers.
Giải
* Các nhóm các chữ số hàng chục là chữ số lẻ: 10; 11; 12; ....; 19 Mỗi nhóm có (18 - 10) : 2 + 1 = 5 số có tính chất như vậy.
Từ 10 đến 99 có 5 nhóm chữ số hàng chục lẻ nên có 5 x 5 = 25 số có tính chất trên.
* Các nhóm chữ số hàng chục chẵn: 20; 21; 22; 23; ...;29. Mỗi nhóm có: (29 - 20) : 1 + 1 = 10 số có tính chất như vậy.
Từ 10 đến 99 có 4 nhóm chữ số hàng chục chẵn nên có 10 x 4 = 40 số có tính chất trên.
* Vậy Có tất cả: 25 + 40 = 65 số có chữ số hàng chục hoặc hàng đơn vị chia hết cho 2'
ĐS: 65 số
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Question 9:
If we write all of the whole numbers from 10 through 99 and cross out any number in which the first or second digit is divisible by 2 (for example, 41 is crossed out as 4 is divisible by 2 and 36 is crossed out as 6 is divisible by 2), how many numbers are crossed out?
Answer: numbers.