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There are seven positions: _ _ _ _ _ _ _ Each must be filled by number 0-9 and numbers can be repeated. The first three positions must be 2,4,5, therefore, 2 4 5 _ _ _ _ For the other for positions, the 4th and 7th position cannot be 0 (therefore only 9 possibilities: 1-9) and the 5th and 6th position can be any number (10 possibilities: 0-9). Therefore, the total number of possibilities is 9 * 10 * 10 * 9 = 8100 since the positions are independent.

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Q: All seven-digit telephone numbers in a town begin with 245 how many telephone numbers may be assigned in the town if the last 4 digits do not begin or end in a zero?
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