Question

How many numbers lying between $500and600$ can be formed with the help of the digits $1,2,3,4,5,6$ when the digits are not to be repeated

• A. $20$
• B. $40$
• C. $60$
• D. $80$

Answer 1

The correct option is A $20$

The number is in the form

5 --

for first blank (ten) place we have

1, 2, 3, 4, 6 option

$\therefore$ Total = 5

for second we have total = 4 options

$\therefore$ Total number $=5\times 4$

$=20$