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How many 6 digit numbers can be formed if each number starts with 35?

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How many 6 digit numbers can be formed if each number starts with 35?

Explanation: The first two places can only be filled by 3 and 5 respectively and there is only 1 way for doing this….Permutation and Combination #23.

23. How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once?
A. 720 B. 1420
C. 360 D. 1680

How many four digit numbers exist which can be formed by using the digits 2 3 5 and 7 once only such that they are divisible by 25?

There are 24 four-digit whole numbers that use each of the four digits 2, 4, 5 and 7 exactly once. Only one of these four-digit numbers is a multiple of another one.

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How many six digit roll numbers can be made if each number starts with 67 and no digit appear more than one?

Hence, the total number of 6 digit numbers is 1680. Note: In this question, one can include the digit 6 and 7 for the3rd, 4th ,5th and 6th place. If we do so, then repetition will be done as this number is starting with 67.

How many 6 digit telephone can be formed with the digit 0 to 9 if the number start from 5 or 6 repetition is allowed?

Hence, the required number of numbers =(8×7×6×5)=1680.

How many 6 digit number can be formed from the digit 123456 which are divisible by 4 and digits are not repeated?

Therefore, there are a total of 8 multiples of 4 which can be formed from the given digits without repetition. For the 6 digit number to be divisible by 4, the last 2 digits of the number should be a multiple of 4, i.e., it should be any of the 8 multiples stated above.

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How many four digit numbers exist which can be formed by using?

The smallest 4-digit number is 1,000 and the largest 4-digit number is 9,999, and there are a total of 9000 numbers from 1000 to 9999. We can make many four-digit numbers by using digits from 0 to 9 but we need to remember that the thousands place in a 4-digit number should not be 0.

How many 3-digit numbers are divisible by 5?

[Solved] How many 3-digit numbers divisible by 5, can be formed using Given, Numbers that can be used = {2,3,5,6,7,9} = 6 The three digits number has to be formed without repetition ∴ Let the three digit number be abc N

What is the divisibility rule for 7?

The divisibility rule of 7 states that, if a number is divisible 7, then the difference between twice the unit digit of the given number and the remaining part of the given number should be equal to 0, or the multiples of 7. How many numbers are there between 1 and 100 are divisible by 7?

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How do you find the divisibility of a number?

This method generally uses the digits to find the given number is divided by a divisor. We can say, if a number is perfectly divisible by the other number, the remainder should be zero, and the quotient should be a whole number. We have divisibility rules for 1, 2, 3, 4, 5, 6, 7,8, 9, 10, 11, 12, 13, and so on.

Is 905 divisible by 7?

No, 905 is not divisible by 7. Thus, the difference between twice the unit digit and the remaining part of the given number is 80, which is not a multiple of 7 (i.e.) 90-10 = 80.

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