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you forgot the three digit access code for your garage door.The first digit is three and the last two digits are odd numbers .How many codes are possible?
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25
it is \[3,\text{odd },\text{odd}\] and so in each spot you have a possibilty of five odd numbers \[1,3,5,7,9\]
25 because from 1 to 10 there are only 5 odd numbers, so you need 2 of them, thats why you get the square of 5, wich is 25: 25 ---> answer
by the "counting principle" there are \[5\times 5=25\] possibilities
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