Permutations & Combinations MCQs with Answers

Past Paper MCQ

The letters of the word SAP taken all at a time can be arranged in how many ways?

• A.$3$ ways
• B.$6$ ways
• C.$9$ ways
• D.$12$ ways

At a conference, 10 members shook hands with each other before and after the meeting. How many handshakes occurred before the meeting?

• A.$90$
• B.$20$
• C.$100$
• D.$45$

If 4 members are to be seated from a group of 6, how many different seating arrangements are possible?

• A.$360$
• B.$15$
• C.$720$
• D.$24$

What is the value of $0!$ (zero factorial)?

• A.$0$
• B.$1$
• C.Undefined
• D.$-1$

In how many ways can 5 children be arranged in a line for a photograph?

• A.$120$
• B.$60$
• C.$24$
• D.$720$

Three males and three females are candidates for two vacancies. A voter has two votes to vote for two candidates. In how many ways can a vote be cast?

• A.$12$
• B.$30$
• C.$18$
• D.$15$

The letters of the word CHORD taken all at a time can be written in how many ways?

• A.$24$
• B.$60$
• C.$120$
• D.$720$

How many 5-digit multiples of 5 can be formed from the digits 2, 3, 5, 7, 9 when no digit is repeated?

• A.$120$
• B.$24$
• C.$60$
• D.$48$

In a round table meeting with $n$ participants, what is the formula used to calculate the number of possible communication channels between them?

• A.$n(n-1)$
• B.$n(n+1)/2$
• C.$n(n-1)/2$
• D.$n^2$

$0!$ is equal to _?

• A.$0$
• B.$1$
• C.Undefined
• D.$\infty$