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ElenaW [278]
2 years ago
15

Lina picks a 4 digit number.

Mathematics
1 answer:
Mamont248 [21]2 years ago
3 0

The number of combinations is given by  1000

Using the Fundamental Counting Theorem, it is found that there are 1000 possible numbers that Lina could pick.

<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,........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 n_2\times........ n_n

In this problem:

The number is more than 5000, hence the first digit can be 5, 6, 7, 8, or 9, hence n_1=5 .

The second digit is prime, that is, 2, 3, 5, or 7, hencen_2=4.

For the third digit, there are no restrictions, hence n_3=10.

The number is odd, hence the fourth digit can be 1, 3, 5, 7, or 9, hencen_4=5 .

Hence the number of combinations is given by:

N = 5 x 4 x 10 x 5 = 1000

To learn more about the Fundamental Counting Theorem at:

brainly.com/question/24314866

#SPJ1

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