# Thread: Large number probality question

1. ## Large number probality question

Student identification badges are made containing three digits and three letters with repetition of the numbers and letters allowed. How many different students can receive an ID badge?

a.17,576,000
b.11,232,000
c.11,881,376
d.26,000,000

Find how many different pin numbers can be made of four numbers where repetition is allowed. (0-9)

2. Originally Posted by Bica
Student identification badges are made containing three digits and three letters with repetition of the numbers and letters allowed. How many different students can receive an ID badge?
a.17,576,000 , b.11,232,000 , c.11,881,376 , d.26,000,000
With the wording of the question, none of those choices is correct.
With this loose wording these badges are allowed: A99BC6 or 56AAD6.
However the only way one of the given answers is correct is to assume that a badge must be either three letters followed by three digits or visa versa: $\displaystyle {10}^3 \times {26}^3$.