Question

A computer password must contain exactly: 3 distinct letters (A-Z), 2 distinct digits (0-9), 1 special character from \{!, @\} in any order. How many possible passwords exist? a. $P(26, 3) \times C(10, 2) \times 3! \times 3$ b. $26 \times 25 \times 24 \times 10 \times 9 \times 3$ c. $C(26, 3) \times P(10, 2) \times 6! \times 3$ d. $26^3 \times 10^2 \times 3$ Clear my choice

Name: a computer password must contain exactly 3 distinct letters a z 2 distinct digits 0 9 1 special character from in any order how many possible passwords exist a p26 3 times c10 2 times 3 time 50607
Uploaded: 2023-02-26T13:01:59-08:00
Duration: 3 min 15 s
Channel: Sri K
Description: a computer password must contain exactly 3 distinct letters a z 2 distinct digits 0 9 1 special character from in any order how many possible passwords exist a p26 3 times c10 2 times 3 time 50607

          A computer password must contain exactly: 3 distinct letters (A-Z), 2 distinct digits (0-9), 1 special character from \{!, @\} in any order. How many possible passwords exist?
a. $P(26, 3) \times C(10, 2) \times 3! \times 3$
b. $26 \times 25 \times 24 \times 10 \times 9 \times 3$
c. $C(26, 3) \times P(10, 2) \times 6! \times 3$
d. $26^3 \times 10^2 \times 3$
Clear my choice

a computer password must contain exactly 3 distinct letters a z 2 distinct digits 0 9 1 special character from in any order how many possible passwords exist a p26 3 times c10 2 times 3 time 50607

Added by Anita S.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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Solved by Expert Sri K

02/26/2023

Step 1

The password must contain: - 3 distinct letters (A-Z). There are 26 letters in the alphabet. - 2 distinct digits (0-9). There are 10 digits. - 1 special character from {!, @}. There are 3 special characters. The total number of characters in the password is $3 Show more…

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A computer password must contain exactly: 3 distinct letters (A-Z), 2 distinct digits (0-9), 1 special character from \{!, @\} in any order. How many possible passwords exist? a. $P(26, 3) \times C(10, 2) \times 3! \times 3$ b. $26 \times 25 \times 24 \times 10 \times 9 \times 3$ c. $C(26, 3) \times P(10, 2) \times 6! \times 3$ d. $26^3 \times 10^2 \times 3$ Clear my choice