7
QuizMultiple Choice

Compound Events and Sample Space — Quiz

Question 7 • Grade 7 Mathematics

Ahmad is choosing a password to access his teacher’s web page. He must choose a capital letter and three nonrepeating digits from 0 through 9. The letter can be in any position in the password. Which shows part of the sample space for Ahmad’s password?

Answer
A
1234, 5678, 0246, 1357
B
A113, A123, A133, A143
C
0A23, 0a23,02A3, 02a3
D
A135, 135A, 1A35, 13A5

Explanation

Each password must have one capital letter and three different digits, and the letter may appear anywhere. In D, A135, 135A, 1A35, and 13A5 each contain one capital letter and the nonrepeating digits 1, 3, and 5. The other choices include passwords with no letter, repeated digits, or a lowercase letter.

AI-written and checked against the verified answer.

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