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KCET 2025 Math Paper

Question : 22 of 60

Marks: +1, -0

0,1,2

and 3 without repetition is

Solution:

Here's a quick breakdown by cases (last digit must be 0 or 2 ):

Last digit

=0

First digit can be 1,2 or

3 \Rightarrow 3

choices

The two middle places are filled by the remaining 2 digits in

2 \neq 2

ways

\Rightarrow 3 \times 2 = 6

numbers

Last digit

=2

First digit can be 1 or 3 (can't be 0 or 2 )

\Rightarrow 2

choices

The two middle places are filled by the remaining 2 digits in

2 \neq 2

ways

\Rightarrow 2 \times 2 = 4

numbers

Total

=6+4=10

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