Q. The number of 5 digits telephone number having at least one of their digits repeated, is

A) 90000
B) 100000
C) 30240
D) 69760
Explanation

(d)
Using the digits 0, 1, 2, …… ,9 the number of five digits telephone numbers which can be formed is $10^{5}$(since repetition is allowed).
The number of five digits telephone numbers, which have none of digits repeated $= \ ^{10}P_{5} = 30240$
$\therefore$ The required number of telephone number
$= 10^{5} - 30240 = 69760$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.