By using the digits 0, 1, 2, 3, 4 and 5 (repetitions not allowed) any number of digits being used, the number of non-zero numbers that can be formed is

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By using the digits $0, 1, 2, 3, 4$ and $5$ (repetitions not allowed) any number of digits being used, the number of non-zero numbers that can be formed is

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1630

1200

1530

1030

answer is B.

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Detailed Solution

Number of numbers = Number of 1 digit number

-Numbers of 2 digit numbers $+ . . . . +$ Number of 6 digit numbers

$\begin{array}{l} = 5 + 5 \times 5 + 5 \times 5 \times 4 + 5 \times 5 \times 4 \times 3 + 5 \times 5 \times 4 \times 3 \times 2 \\ + 5 \times 5 \times 4 \times 3 \times 2 \times 1 \\ = 5 + 25 + 100 + 300 + 600 + 600 = 1630 \end{array}$