HEREDITY
BASICS OF PROBABILITY
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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26 x 25 x 24 x 10 x 9 x 8 = 11232000
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26 x 26 x 26 x 10 x 10 x 10 = 17576000
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26 x 25 x 24 x 9 x 8 x 7 = 7862400
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26 x 26 x 26 x 9 x 9 x 9 = 12812904
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Detailed explanation-1: -Each of the three letter combinations can be combined with any of the three number combinations so the total is 17, 576 x 1000 = 17, 576, 000 different combinations possible.
Detailed explanation-2: -Numbers can be anything from 0 to 9. There are 10 combinations for each place. Now, the combination for letters and numbers = 17576 × 100 = 1757600. Therefore, 1757600 license plates can be made.
Detailed explanation-3: -1-If letters are NOT allowed to repeat, then you have: 26 x 25 x 24=15, 600 provided ALL 3-letter permutations are allowed. 3-Multiply 1 by 2 above and you have: 15, 600 x 720 =11, 232, 000 License plates possible.
Detailed explanation-4: -for second and third letters, we again have 26 combinations available and thus 26×26×26=17576 combinations for letters. But digits are from 0 to 9 i.e. 10 combinations for each place and tolal 10×10=100 combinations. Hence for LLLDD, we have 1, 757, 600 combinations available for license plates.