Permutations and Combinations Q3: Passwords with Conditions

Permutations and Combinations Q3: Passwords with Conditions

3 marks
Tutorial

John needs to use a seven-character password to log into the network. Find the number of possible passwords, if repetitions of the characters of the password are not allowed and the passwords must satisfy the following conditions:

• Begin and end with any of the \(26\) alphabets assuming that the password is not case sensitive;

• Contains at least one of the ten digits \(0\) – \(9\).

Give your answer correct to \(3\) significant figures.[3]

Video Solution:

Video Solution

Video solution locked

A free account saves your progress; this video needs tuition enrolment.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create a free account to practise similar questions.

Answer:\(1.84 \times 10^{10}\) (\({3}\) s.f)

Need help? Join our JC Math tuition classes.

Learn more