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How many four digit numbers can be made using 1-2-3-4?
It is a permutation problem (any number can be used repeatedly), it will become 4 x 4 x 4 x 4 = 256 four digit numbers. If each number can only be used once, then the answer is 4 x 3 x 2 x 1 = 24 four digit numbers.
How many different digit personal identification numbers are possible if no digit can be used twice a. 1000 b. 5040 c. 9000 d. 10000?
The answer depends on how long the PIN string is. With a ten digit string, where a leading zero is permitted, the answer is 3628800.With only 4 digits, and with leading zero permitted, the answer is 5040.
How many license plate combinations with three letters and two digits?
I suspect that you want permutations rather than combinations. The permutation ABC is different from ACB, but they are both the same combination. There are 26*26*26*10*10 or 1,757,600 possible permutations of 3 letters followed by 2 numbers. But there are ten ways of arranging 3 letters and 2 numbers: eg LLLNN, LNLNL etc. All in all, therefore, 17,576,000 permutations. However, some letters are not used so as to avoid confusion between letters and numbers: eg 0 and O. Also, some sequences are not used because they form (or suggest) inappropriate words.
How many gallons of gas is used if you get 23 miles per gallon with 10000 miles used?
If you get 23 mpg, that means that for every gallon of gas, you travel 23 miles. Simply divide the number of miles travelled by the number of miles you travel per gallon of gas. In this case, 10000 miles / 23 mpg = 434.8 gallons.
How many digits are used to write all numbers from 1 - 100?
-99
