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NDA 2016
Exam
NDA
Year
2016
Subject
Mathematics
Chapter
Permutation and Combination

NDA 2016 · Mathematics · Permutation and Combination

What is the number of four-digit decimal numbers ( < 1) in which no...

What is the number of four-digit decimal numbers (<1)( < 1) in which no digit is repeated?

Options

  1. A3024
  2. B4536
  3. C5040
  4. DNone of the above

Correct answer

B. 4536

Step-by-step solution

Let the given 4 digit decimal number is * □□□□\square\square\square\square Places after decimal can be filled in the following ways: <tableclass="qx−match−listqx−match−table"border="1"cellpadding="6"cellspacing="0"><tr><td>7</td><td>8</td><td>9</td><td>9</td></tr></table><table class="qx-match-list qx-match-table" border="1" cellpadding="6" cellspacing="0"><tr><td>7</td><td>8</td><td>9</td><td>9</td></tr></table> Total number of ways =7×8×9×9=4536=7 \times 8 \times 9 \times 9=4536
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