Question

How many $3$ digit numbers can be formed by using the given digits $1,0,5,7,2$

• A. $120$
• B. $10$
• C. $60$
• D. $48$

Answer 1

Answer: (D)

$48$

Number with $0$ in the first place is not valid, since it makes a $2$ digit number.
Number of $3$ digit numbers formed ${=}^5{P}_3=60$
Now, numbers of $3$ digit numbers with $0$ in the first place ${=}^4{P}_2=12$
$\therefore$ Total number of numbers formed $=60-12=48$