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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Permutation and Combination

NDA 2022 · Mathematics · Permutation and Combination

How many odd numbers between 300 and 400 are there in which none of...

How many odd numbers between 300 and 400 are there in which none of the digits is repeated?

Options

  1. A32
  2. B36
  3. C40
  4. D45

Correct answer

A. 32

Step-by-step solution


3 is fixed in hundred place, so no. of choice =1=1 Number of choice for unit place {1,5,7,9}=4\{1,5,7,9\}=4 Number of choice for tens place =8∴=8\therefore \quad Number of odd number between 300 and 400 =1×4×8=32=1 \times 4 \times 8=32
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