what is the largest 4-digit number you can make
Let's start with 99999. It is 5 digits and the largest 5 digit number. Now it is odd, so let's find the largest replacement for the last 9 so we can make it even. That would be 8, so we have 99998. Now, let's just put a 3 in the thousands place and we have 93998
100012
6
A palindrome reads the same forward and in reverse. This tells me that at leastthe first digit and the last digit must be the same. So it's not possible to have a6-digit palindrome "with no same digits".The largest 6-digit palindrome, with just enough repetition of digits to make it apalindrome and no more, would be 987,789 .
Well, isn't that a happy little question! To find the largest even number using those cards, we need to see how many times each digit can be used. Since there are only 3 '9's, 3 '8's, 1 '6', and 1 '1', the largest even number would be 988866. Just remember, there are no mistakes, just happy little accidents in math!
For this type of "the largest number which..." questions, you need to advance from left to right, using the largest possible digit in each case. For the first two digits, that would be 9, for the third digit (the right-most digit), the largest digit which will make this possible is an 8.
93,998
999698
what is the largest 4-digit number you can make
93876
9876 is the largest four digit number you can make if all the digits must be different.
Let's start with 99999. It is 5 digits and the largest 5 digit number. Now it is odd, so let's find the largest replacement for the last 9 so we can make it even. That would be 8, so we have 99998. Now, let's just put a 3 in the thousands place and we have 93998
9999
9,999
97632 is the largest number containing these digits. To make the largest number simply order the numbers in descending order. As it happens this results in an even number so nothing further is necessary.
To create the largest even number, we should place the highest digit in the most significant place value to maximize its value. The highest digit available is 9, so we should place it in the leftmost position. Following this logic, the largest even number using the given digits is 987654321.