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Question: Answered & Verified by Expert
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
MathematicsPermutation CombinationTS EAMCETTS EAMCET 2020 (10 Sep Shift 1)
Options:
  • A 100
  • B 600
  • C 700
  • D 800
Solution:
1988 Upvotes Verified Answer
The correct answer is: 700
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
$=100+600=700$

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