EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Counting and Basic Probability · Question 10 of 65

Question 10

MediumOriginal question

A locker code is a string of 4 digits from 0 to 9. Digits may repeat, but the code must not begin with 0. How many codes are possible?

Options for question 10

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. First digit: 9 choices (1 to 9).

  2. Each of the other three digits: 10 choices, since repetition is allowed.

  3. Codes =9×10×10×10=9000= 9 \times 10 \times 10 \times 10 = 9000.

Worth noting

10,000 ignores the rule about 0. 4,536 is 9×9×8×79 \times 9 \times 8 \times 7, which wrongly forbids repetition.

Concept
Codes with repetition and one restricted position
Typical time
70 s
Your time
—
The rule this testsThe counting principle
Practise this chapter →

Ten questions from Counting and Basic Probability, at your own pace.

Practise this chapter →

Ten questions from Counting and Basic Probability, at your own pace.