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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Permutation and Combination

NDA 2019 · Mathematics · Permutation and Combination

How many three-digit even numbers can be formed using the digits...

How many three-digit even numbers can be formed using the digits 1,2,3,41,2,3,4 and 5 when repetition of digits is not allowed ?

Options

  1. A36
  2. B30
  3. C24
  4. D12

Correct answer

C. 24

Step-by-step solution

Given digits are 1,2,3,41,2,3,4 and 5. Total number of 3-digit even numbers =4C2×2C1={ }^4 \mathrm{C}_2 \times{ }^2 \mathrm{C}_1. =3×42×2=12=\frac{3 \times 4}{2} \times 2=12.
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