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  4. The total number of three digit and five digit integers which can be formed by using the digits 0,1,2,3,4,5 but using each digit not more than once in each number is

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Q. The total number of three digit and five digit integers which can be formed by using the digits $0,1,2,3,4,5$ but using each digit not more than once in each number is

TS EAMCET 2020

Solution:

Total number of three digit numbers $=5 \times 5 \times 4=100$
Total number of five digit numbers $=5 \times 5 \times 4 \times 3 \times 2=600$
$\therefore $ Total number of required numbers $=100+600=700$