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MITACS View all math questions A postal code is formed by the following: a letter, a number, a letter, a number, letter, a number. How many different postal codes is it possible to form with three letters and three numbers?
A postal code is formed by the following: a letter, a number, a letter, a number, letter, a number. How many different postal codes is it possible to form with three letters and three numbers?

 

108

Wrong. One must determine the number of possibilities in each step. Then the multiplication rule states that one must multiply the number of possibilities of each step: 26 x 10 x 26 x 10 x 26 x 10 = 17 576 000

 

108

17 576

Wrong. One must determine the number of possibilities in each step. Then the multiplication rule states that one must multiply the number of possibilities of each step: 26 x 10 x 26 x 10 x 26 x 10 = 17 576 000

 

17 576

12 812 904

Wrong. One must determine the number of possibilities in each step. Then the multiplication rule states that one must multiply the number of possibilities of each step: 26 x 10 x 26 x 10 x 26 x 10 = 17 576 000

 

12 812 904

17 576 000

Correct! One must determine the number of possibilities in each step:
Step 1: 26 possibilities (26 letters in the alphabet)
Step 2: 10 possibilities (10 numbers: 1,2,3...9,0)
Step 3: 26 possibilities,
Step 4: 10, Step 5: 26, Step 6: 10
The multiplication rule states that one must multiply the number of possibilities of each step
26x10x26x10x26x10 = 17 576 000

 

17 576 000
 

 
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