Q.

The number of natural numbers less than one million that can be formed by using the digits, 0, 2, and 3 is

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a

728

b

726

c

730

d

732

answer is A.

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Detailed Solution

The number of k digit natural numbers formed by using the digit  and 3 is 23k−1∴ Number of natural numbers less than one million formed by 0,2 and 3 is=2+(2)(3)+(2)32+233+234+235=728
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The number of natural numbers less than one million that can be formed by using the digits, 0, 2, and 3 is