1.

The number of five digit even numbers that can be made with the digits, 0, 1, 2 and 3, isA. 384B. 192C. 768D. 576

Answer» An even number formed with the digits 0, 1, 2 and 3 will have either 0 or 2 at units places. So uints place can be filled in `""^(2)C_(1)` ways. Now, remaining four places can be filled in `""^(3)C_(1)xx""^(4)C_(1)xx""^(4)C_(1)xx""^(4)C_(1)` ways.
Hence, required number of numbers
`=""^(2)C_(1)xx(""^(3)C_(1)xx""^(4)C_(1)xx""^(4)C_(1)xx""^(4)C_(1))=396`


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