The Boolean algebra uses binary number system i.e. two digits 0 and 1.
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Q1
A three-digit code for certain locks uses the digits 0,1,2,3,4,5,6,7,8,9 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?
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Q2
A and B choose any one digit at random from the digits 0, 1, 2, ............9, independently. The probability that the product of the two digits is zero is ____.
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Q3
The number of positive integers formed with atmost 10 digits using the digits 0,1,2 is:
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Q4
How many numbers of four digits can be formed from the digits 0, 1, 2, 3, and 4?
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Q5
How many 7−digit numbers can be formed using the digits 1,2,0,2,4,2 and 4?