Q. 135.0( 2 Votes )

How many 5-digit

Answer :

Given: We have 3 digits, i.e. 0, 1 and 2


To Find: Number of 5-digit numbers formed


Let us represent the arrangement



For forming a 5-digit number, we have to fill 5 vacant spaces.


But the first place cannot be filled with 0, hence for filling first place, we have only 1 and 2


First place can be filled with 2 numbers, i.e. 1, 2 = 2 ways


Second place can be filled with 3 numbers = 3 ways


Third place can be filled with 3 numbers = 3 ways


The fourth place can be filled with 3 numbers = 3 ways


The fifth place can be filled with 3 numbers = 3 ways


Total number of ways = 2 × 3 × 3 × 3 × 3 = 162


162 5-digit numbers can be formed by using the digits 0, 1 and 2.


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