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NDA 2018
Exam
NDA
Year
2018
Subject
Mathematics
Chapter
Permutation and Combination

NDA 2018 · Mathematics · Permutation and Combination

What is the sum of all three-digit numbers that can be formed using...

What is the sum of all three-digit numbers that can be formed using all the digits 3,4 and 5 , when repetition of digits is not allowed?

Options

  1. A2664
  2. B3882
  3. C4044
  4. D4444

Correct answer

A. 2664

Step-by-step solution

Number of 3 digit number made from digit 3,4 or 5 and having all distinct digit =3!=6=3!=6 and sum of such numbers are 543+534+345+354+435+453=2664543+534+345+354+435+453=2664
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