# the number of five digits numbers that can be formed without any restriction is a. 990000 b. 100000 c. 90000 d. none of these please need the procedure

jitender lakhanpal
62 Points
9 years ago

hi shuvam

option c

without any restriction means without repitition

9 * 10 * 10 * 10 * 10  = 90000

use fundamental theorom of addition and multiplication

in ten thousands place you can place 9 digit ( excluding 0 ) in all the other places we can place 10 digits

aa aa
14 Points
9 years ago

Each digit can be 0 or 1 or 2 .. or 10.

10 choices * 10 choices * ... 10 choices = 100000

HTH

srinivas aytha
13 Points
9 years ago
 9ways 10ways 10ways 10ways 10ways

9xx10x10x10x10=90000 five digit numbers with out any restriction

sridhar yelkur
40 Points
9 years ago

GOPI
36 Points
8 years ago
If u say each distinct digit. There are total 10 digits including "0".I need to prepare 5 digits number.so I have 10p5 permutations with out repetition.but in them there are such numbers starting with 0.so total numbers of that kind 9p4.so ans is 10p5-9p4. ..... else ..... 9*10*10*10*10 ways obviously ..........................................