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Alina [70]
2 years ago
13

A lottery game requires that a person select in uppercase or lowercase letter followed by two different two-digit numbers (where

the digits cannot both be zero). How many different ways are there to fill out a lottery ticket
Mathematics
1 answer:
Irina-Kira [14]2 years ago
5 0

Using the Fundamental Counting Theorem, it is found that there are 416,520 ways to fill out a lottery ticket.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

In this problem:

  • First, one uppercase or lowercase letter is chosen, there are 26 of each, hence n_1 = 52.
  • Then, two different two-digit numbers are chosen, and there are 90 of them, hence n_2 = 90, n_3 = 89, as the third digit has to be different of the second.

Then:

N = n_1n_2n_3 = 52(90)(89) = 416520

There are 416,520 ways to fill out a lottery ticket.

To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866

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