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Permutations — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsPermutations1 Mark
Question
Write the number of $5$ digit numbers that can be formed using digits $0, 1$ and $2.$
✓

Answer

Total number of digits $= 3$
Now, zero can not be first digit of the 5 digit numbers.
$\therefore$ The number of $5$ digit numbers $= 2 \times 3 \times 3 \times 3 \times 3$
$= 2 \times 3^4$

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