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There are 3 grey socks, 3 blue socks and 3 yellow socks in a drawer. How many socks must Alan take out from the drawer in a dark room before there is a pair of socks of the same colour?
There are 3 grey socks, 3 blue socks and 3 yellow socks in a drawer. How many socks must Alan take out from the drawer in a dark room before there is a pair of socks of the same colour?
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 ~
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 ~
3. Students in a primary school are either wearing blue, black or yellow cap. At least how many students are there to ensure there are 26 students wearing the same colour of cap?
A bag contains indentical balls of different colours.There are 12 red, 10 white, 8 yellow, 3 blue and 2 black balls.Without looking into the bag,John takes out the balls one by one.What is the least number of balls that John must take out from the bag in order to have at least 4 balls of the same colour?
The ratio of the number of girls to the number of boys in a classroom is 5:4. When 10 girls left the classroom, then ratio of the number of boys to the number of girls became 4:3. How many students were in the classroom at first? Answer: There were ….. students the classroom at first
In a PE room, a basket contains some red, orange, yellow and green bean bags. How many students must the PE teacher send so that at least 2 students will draw 3 bags of the same colour combination? Each student is allowed to draw 3 bean bags
During summer break, a group of 5 students are participating in tidying and decorating a park near their houses. They have planned to finish the work in 7 days. However, after 4 days, two students have to stop work to take part in a local sporting competition. Supposing that all the students have the same efficiency in their work, how many days will the rest of the students have to spend completing the work of the whole group?