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Q. Let $S$ be the set of all five digit positive integers formed from the digits in the set $\{1,2,3,4,5,6,7,8,9\}$ without repetition. Find the number of these integers in which the digits $3,5,7$ appear in order (not necessarily consecutively) from left to right.

Permutations and Combinations

Solution:

Correct answer is '0300'