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  4. The number of integers, greater than 7000 that can be formed, using the digits 3,5,6,7,8 without repetition, is

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Q. The number of integers, greater than $7000$ that can be formed, using the digits $3,5,6,7,8$ without repetition, is

JEE MainJEE Main 2023Permutations and Combinations

Solution:

Four digit numbers greater than $7000$
$=2 \times 4 \times 3 \times 2=48$
Five digit number $=5 !=120$
Total number greater than $7000$
$=120+48=168$