0
There are 26 different letters.
There are 10 different numbers.
If a letter or number is allowed to repeat in the code:
Number of ways to make 3 letters = 26 x 26 x 26 = 17,576
Number of ways to make 2 numbers = 10 x 10 = 100
Number of ways to make 3 letters and 2 numbers = 17,576 x 100 = 1,757,600
Each group of 3 letters and 2 numbers can be arranged in (5 x 4 x 3 x 2) = 120 different ways.
So the number of different codes = 1,757,600 x 120 = 210,912,000 .
If a letter or number is not allowed to repeat in the code:
Number of ways to make 3 letters = 26 x 25 x 24 = 15,600
Number of ways to make 2 numbers = 10 x 9 = 90
Number of ways to make 3 letters and 2 numbers = 15,600 x 90 = 1,404,000
Each group of 3 letters and 2 numbers can be arranged in (5 x 4 x 3 x 2) = 120 different ways.
So the number of different codes = 1,404,000 x 120 = 168,480,000 .
Still curious? Ask our experts.
Chat with our AI personalities
Beau
Vivi
BlakeAdd your answer:
Earn +20 pts
If a code contains 4 letters and 2 numbers how many possible outcomes are there?
If the numbers and letters can be repeated then there are 45,697,600 possible outcomes. If the letters and numbers can not be repeated there are 32,292,000 possible outcomes.
How many algebraic terms are there in 5a 2d a 6d?
Just 2. The letters are all known as variables and the numbers are just numbers. Even though there are different numbers and letters, they all represent the same things.
How many combinations of two numbers and two letters?
4! = 4*3*2*1 = 24 of them.
How many different ways can a president vice president and secretary be elected from a class of 32 students?
tak-kee plasstic compnany prints a 2-letter code on each of its products. How many different 2-letters codes can be formed using the 26 letters of the alphabet if the two letters must be different?
Cheat codes for math arcade bumble numbers 2?
The password for beating bumble numbers 2 to go to the next game is draw4 for only trying to beat bumble numbers 2.
