SOLUTION: What is the probability of winning a lottery game where the winning number is made up of seven digits 0-9 chosen at random

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Question 324511: What is the probability of winning a lottery game where the winning number is made up of seven digits 0-9 chosen at random
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Two scenarios:
First, you must get the seven digits exactly as drawn.
Example: 1234567 is drawn, your ticket 7654321 would not win since they're not in the correct order.
You have a permutation without repetition.
+N=10%21%2F%2810-7%29%21+
N=10%21%2F3%21
N=10%2A9%2A8%2A7%2A6%2A5%2A4=604800
P=1%2FN=1%2F604800
.
.
.
Second, order doesn't matter. In the example above, you'd be a winner.
You have a combination without repetition.
N=10%21%2F%287%21%2810-7%29%21%29
N=10%21%2F%287%213%21%29
N=%2810%2A9%2A8%29%2F%283%2A2%2A1%29=120
P=1%2F120