Q. 124.5( 2 Votes )

Write the number of numbers that can be formed using all for digits 1,2,3,4.

Answer :

Thousands’ place (103) can be filled with 1, 2, 3 and 4 i.e. thousands’ place can be filled in 4 ways.


Hundreds’ place (102) can be filled in 3 ways [i.e. with the remaining 3 digits].


Similarly, tens’ place (101) can be filled in 2 ways and ones’ place can be filled only in 1 way.


As, the operations are dependent, so, total number of ways


=24


The discussion can be shown pictorially as:



ALTERNATIVE APPROACH:


The number of permutations of 4 objects taken 4 at a time is = 4P4 = 4! = 24.


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