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 .
It is 998316.Actually, it is possible to make 999318 - if you turn the 6 card over so that it reads 9.
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.
348+301 can make 649