Question

How many three digit numbers can be formed by using the digits $1,2,3,4,5$ without repetition of digits?

• A. $120$
• B. $60$
• C. $150$
• D. $100$

Answer 1

Answer: (B)

$60$

Digits given are $1,2,3,4,5$

Three digits has to be selected ${}^5{C}_3$

As these $3$ digits can be arranged among themselves.

Therefore , Number of three digit numbers ${}^5{C}_3\times 3!=60$