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You get the largest number if you sort the digits, from largest to smallest.
the largest five digit number that can be formed using the digits 7 and 9 is 97,000
874321 is the largest number made from all these digits.
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.
9,999,876 is the greatest seven-digit number using four different digits.