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Permutations and Combination — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsPermutations and Combination2 Marks
Question
How many three-digit numbers can be formed using the digits 2, 3, 4, 5, 6 if digits can be repeated?
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Answer

A 3-digit number is to be formed from the digits 2, 3, 4, 5, 6 where digits can be repeated. ∴ Unit’s place digit can be selected in 5 ways. 10’s place digit can be selected in 5 ways. 100’s place digit can be selected in 5 ways. ∴ By using fundamental principle of multiplication, total number of 3-digit numbers = 5 × 5 × 5 = 125

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