How many positive integer values of n are both N 3 and 3n three digit integers?

The number of integers such that both 3n and n/3 are 4-digit integers. o As n/3 is an integer, n has to be a multiple of 3. Hence, n can have 112 values.

How many 3-digit positive integers are there such that the three digits are 3/4 and 8?

Six three-digit positive
So there are Six three-digit positive integers that can be formed from the digits 3 , 4 , and 8 . In fact, we could list them all if we really wanted to: 348 , 384 , 438 , 483 , 834 , and 843 . The correct answer is B, 6 .

How many 3-digit positive integers are there such that the average of two of the digits amongst them equals the third digit?

The 3-digit numbers are those from 100 to 999. The total is 999 – 100 + 1 = 900.

How many numbers are there between 99 and 999?

the correct answer is 162.

How many 3-digit positive integers are there?

How many positive 3-digit numbers are there?

900
In the tens place and the one’s place, there can be any digit from 0-9. There is a possibility of 10 digits in the hundredth place and 10 digits in the unit’s place. Thus, there are 9 × 10 × 10 = 900 three-digit numbers in all. Therefore there are 900 three-digit numbers in all.

How many whole numbers are there up to 999?

Answer: There 9000 whole number between 9999 and 999.

How many 4 digit positive integers are there such that there are no repeated digits and all digits are even recall that 0 Cannot be the first digit?

There are 9⋅9⋅8⋅7 4-digit integers that don’t contain any repeated digits.

How many 4 digit positive integers are there in which all 4 digits are even 625?

Answer: There are 9,999 different combinations in a 4-digit lock.

Is N / m an integer or a rational number?

Assume m and n exist in the positive integers and that m is less than n. If m is less than n, then which is to say that m is a factor of n!. So, Remember that m is a factor of n! and so n! / m is still an integer.

How do you show that a positive integer is good?

Show that a positive integer n good if there are n integers, positive or negative and not necessarily distinct, such that their sum and product both equal to n. then |a|+|b|+|c|+|d| Example 8 is as good as =�×�× �.�.�.�(−�).(−�)=�+�+�+�+�+ �+(−�)+(−�)=� Show that the integers of the form (4k+1) where k ≥� ��� �� (�≥�)are good. 21.

How do you prove that there is no integer b?

If f is a polynomial with integer coefficients such that there exists four distinct integer with �(��)=�(��)= �(��)=�(��)=����, then show that there exists no integer b, such that f(b)

Which number is divisible by a five-digit prime number?

The number 104,060,465 is divisible by a five-digit prime number. What is that prime number? 5. Suppose there exists a positive integer N such that there are 2016 prime numbers that are less than N.