Question

Write all 3 digit numbers using 2 3 4 taking each digit only once

Answer 1

$\textbf{Given:}$

$\text{Digits 2, 3 and 4}$

$\textbf{To find:}$

$\text{All 3 digit numbers using 2,3 and 4 without repetition}$

$\textbf{Solution:}$

$\boxed{100}\;\;\boxed{10}\;\;\boxed{1}$

$\text{Here, we have to fill the 3 boxes using the digits 2,3 and 4}$

$\text{The unit's place can be filled by using any one of}$

$\text{the 3 digits in 3 ways}$

$\text{The ten's place can be filled by using any one of}$

$\text{the remaining 2 digits in 2 ways}$

$\text{The hundred's place can be filled by using }$

$\text{the remaining 1 digit in 1 ways}$

$\text{By fundamental principle of multiplication,}$

$\text{Total number of 3 digits numbers formed}$

$=1{\times}2{\times}3$

$=6$

$\therefore\textbf{We can form 6 three digits numbers}$

$\textbf{Using the digits 2,3 and 4}$

Answer 2

yes absolutely correct ......