every positive integer can be expressed as a sum of distinct of 2. note that 1 and 2 are power of 2. How many three - digit numbers are sums of exactly 9 distinct power of 2
(giúp mk với, mk cần gấp)
Câu 1: How many distinct 3 - digit odd numbers can you make by using 0;1;2;4 and 5 ? (Giải thích rõ giúp mình)
Câu 2: How many distinct 4 - digit numbers are divisible by 2 can be form from digits 0;2;5;6 and 9 ? (Giải thích rõ luôn nha)
Câu 1 :
Có 2 cách để chọn chữ số hàng trăm ( trừ số 0 , 1 và 5 )
Có 2 cách để chọn chữ số hàng chục ( trừ một số ở hàng trăm và số 1 , 5 )
Có 2 cách để chọn chữ số hàng đơn vị ( trừ số 0 , 2 , 4 )
Như vậy có các số là :
2 x 2 x 2 = 8 (số)
Câu 2:
Có 2 cách để chọn chữ số hàng nghìn ( trừ số 0 , 2 và 4 )
Có 1 cách để chọn chữ số hàng trăm ( trừ một số ở hàng nghìn và số 0 , 2, 4 )
Có 1 cách để chọn chữ số hàng chục ( trừ một số ở hàng nghìn , một số ở hàng trăm và số 0 , 2 , 4 )
Có 3 cách để chọn chữ số hàng đơn vị ( trừ số 1 và 5 )
Như vậy có các số là :
2 x 1 x 1 x 3 = 6 ( số )
Number 6 is written as sum of two positive integers in three different ways: $6=1+5=2+4=3+3.$ (order does NOT matter). That is, there are exactly three different pairs of positive integers that add to make six. How many pairs of positive integers that add to make 1000?
1) Fill the mussing number. A cube has.....vertices
2) Fill the missing number. We're in the....st century
3) Ther are only two 2-digit numbers that are a multiple of 7 and the sum of thetr two digits is 10. Find the sum of these two 2-digit numbers: 70,119,140,21
4) The fourth power of 3 is...
5) Twice the square of 3....
6) The number of ethnic group in Vietnam?
7) The perimeter of 4cm square egde in cm?
1) Fill the mussing number. A cube has \(8\) veres
2) Fill the missing number. We're in the \(21\) st century
3) Ther are only two 2-digit numbers that are a multiple of 7 and the sum of thetr two digits is 10. Find the sum of these two 2-digit numbers: 70,119,140,21 \(70\)
4) The fourth power of 3 is \(64\)
5) Twice the square of 3 \(18\)
6) The number of ethnic group in Vietnam? \(54\)
7) The perimeter of 4cm square egde in cm? \(1\)
Mình cũng đar giải ra như các bạn rồi, chỉ có câu 3) đáp án không phải là 70, mình đã trả lời trên thi toán tiếng Anh rồi. Nhưng dù sao cũng cảm ơn các bạn nhé.
SOS cíu vời cô anh ra đề này
We use 8 digits 0, 1, 2, 3, 4, 5, 6, 7 to form all 5-digit natural numbers consisting of distinct digits. Find the sum of all numbers that can be formed.
cô bảo hồi cô giỏi toán nhưng đam mê anh
Vãi There are a total of $8\times 7\times 6\times 5\times 4=67,\!200$ ways to form a 5-digit number with distinct digits out of 0, 1, 2, 3, 4, 5, 6, 7. We claim that these can be grouped into $\binom{5}{2}\cdot 2=20$ pairs, where each pair adds up to 7777. The pairs are $(0, 7777), (1, 7776), \ldots, (4, 7773)$ and $(5, 7772), \ldots, (7, 7770)$. Thus, the sum of all the possible numbers is $20\cdot 7777=\boxed{155,540}.$ đó ko biết đúng hay sai nhé
Since we are forming 5-digit numbers, the first digit cannot be 0. Therefore, we have 7 choices for the first digit. After choosing the first digit, we have 7 remaining digits to choose from for the second digit, 6 remaining digits for the third digit, 5 remaining digits for the fourth digit, and 4 remaining digits for the fifth digit. So, the total number of 5-digit numbers that can be formed is 7 * 7 * 6 * 5 * 4 = 5,040. To find the sum of these numbers, we can use the formula for the sum of an arithmetic series: S = (n/2)(a + l), where S is the sum, n is the number of terms, a is the first term, and l is the last term. In this case, the first term is 1,2345 (the smallest 5-digit number that can be formed using the given digits) and the last term is 7,6543 (the largest 5-digit number that can be formed using the given digits). Using the formula, we can calculate the sum as follows: S = (5040/2)(12345 + 76543) S = 2520 * 88888 S = 224,217,600 Therefore, the sum of all numbers that can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7 is 224,217,600. ...
how many distinct 4 digit numbers are divisible by 2 can be from digits 0, 2, 5, 6, 9
how many 3 digit numbers that are multiples of 6 in which the sum of hundreds digit and units and units digit is twice tens digit ?
A palindrome number is a positive integer that is the same when read forwards or backwards. The numbers 303 and 6996 are examples of palindromes. The ratio of the number of 4 - digit palindrome numbers to the number of 5 - digit palindrome numbers is …
Dịch ra và giải lun hộ mik nhé!
MK SẼ K VÀ CÁC BẠN NHỚ K LẠI NHÉ!
Dịch thì được nhưng giải thì chịu . Em lớp 5 .
ukm k có j đâu Nữ Hoàng Toán Học à
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 ~
là seo pạn?mik hem hỉu??????????????????????
Đọc cái bài mà mún trầm kẻm!
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 ~