Suppose a contest offers $1000 to the person who can guess the winning four digit number. How many possibilities are there?
the choices = 0000-9999, so, 10000 possibilities.
you have nine possibilities in each slot, 9 x 9 x 9 x 9 = 6561
To find out the number of possibilities for a four-digit number, we need to consider the range of digits each position can have.
In a four-digit number, the first digit can be any of the 10 possible digits (0-9), except 0 if it is not allowed as the first digit of the winning number.
Similarly, the second, third, and fourth digits can also be any of the 10 possible digits (0-9).
Since each digit position has 10 possibilities, the total number of possible four-digit numbers can be calculated by multiplying these possibilities together.
Therefore, the number of possibilities for a four-digit number is calculated as 10 * 10 * 10 * 10 = 10,000.
So, there are 10,000 possibilities for a four-digit number in this contest.