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How Many 3-digit Numbers Can Be Formed from the Digits 1, 2, 3, 4 and 5 Assuming that Repetition of the Digits is Allowed? - Mathematics

How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetition of the digits is allowed?

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Solution

There will be as many ways as there are ways of filling 3 vacant places

  in succession by the given five digits. In this case, repetition of digits is allowed. Therefore, the units place can be filled in by any of the given five digits. Similarly, tens and hundreds digits can be filled in by any of the given five digits.

Thus, by the multiplication principle, the number of ways in which three-digit numbers can be formed from the given digits is 5 × 5 × 5 = 125

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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 7 Permutations and Combinations
Q 1 | Page 138
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