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How many positive integers less than 1000000 have the sum of their equal to 7?
To find the number of positive integers less than 1,000,000 whose digits sum to 7, we can use the combinatorial method known as "stars and bars." We want to distribute 7 identical "stars" (the sum) into 6 "bars" (the digits), allowing for leading zeros. The number of non-negative integer solutions to the equation ( x_1 + x_2 + x_3 + x_4 + x_5 + x_6 = 7 ) is given by the formula ( \binom{n+k-1}{k-1} ), where ( n ) is the sum and ( k ) is the number of digits. Thus, the number of solutions is ( \binom{7+6-1}{6-1} = \binom{12}{5} = 792 ). Therefore, there are 792 positive integers less than 1,000,000 with digits that sum to 7.
The sum of twice a number and 7?
?=2n+7
How do you write 7 less than a number k?
k-7
What is 7 fewer than a number k?
Seven fewer than a number ( k ) can be expressed mathematically as ( k - 7 ). This means you take the value of ( k ) and subtract 7 from it. For example, if ( k ) is 10, then seven fewer would be ( 10 - 7 = 3 ).
The sum of a number and 9 is 16 Find the number?
7
How do you write the sum of a number k and 7?
To write the sum of a number k and 7, you would use the mathematical expression k + 7. This expression represents adding the value of k to 7. In algebraic terms, this is known as an addition operation where k is the addend and 7 is the other addend. The result of this addition operation would give you the sum of k and 7.
What is the sum of 7 7?
If you add a single number - in this case minus seven - the "sum" is the number itself.
How many positive integers less than 1000000 have the sum of their equal to 7?
To find the number of positive integers less than 1,000,000 whose digits sum to 7, we can use the combinatorial method known as "stars and bars." We want to distribute 7 identical "stars" (the sum) into 6 "bars" (the digits), allowing for leading zeros. The number of non-negative integer solutions to the equation ( x_1 + x_2 + x_3 + x_4 + x_5 + x_6 = 7 ) is given by the formula ( \binom{n+k-1}{k-1} ), where ( n ) is the sum and ( k ) is the number of digits. Thus, the number of solutions is ( \binom{7+6-1}{6-1} = \binom{12}{5} = 792 ). Therefore, there are 792 positive integers less than 1,000,000 with digits that sum to 7.
Sum of 7 and a number is more than 2?
what is the sum of 7 and a number is more than 2?
Algorithm for to find sum of individual digits of a positive integer?
enter the number whose digits are to be added num is the given value num=0! k=num%10 sum=sum=k k=num/10 num=k print the sum of the digits
The sum of a number and 7?
n+7
The sum of twice a number 7?
2x + 7
The sum of twice a number and 7?
?=2n+7
What number has a sum of 7?
When you say "sum", it means at least two numbers piled together.If you can only use one number, then the only number that can give you 7 is 7.
What number is prime is less than 19 and the sum of digits is greater than 7?
'17' is a prime number. The sum of the digits is 1 + 7 = 8 > 7.
How do you write 7 less than a number k?
k-7
Eric is thinking of a numberhe said that his number is the sum of 7 and 8 doubledwhat is Erik's number?
Eric is thinking of a number he said that is number is the sum of 7 and 8doubled what is Erik's number?
