Grade 12Algebra

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

Shuvam Shukla

12 Years agoGrade 12

6 Answers

jitender lakhanpal

Approved Tutor Answer12 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

12 Years ago

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

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

HTH

srinivas aytha

12 Years ago

9ways

10ways

9xx10x10x10x10=90000 five digit numbers with out any restriction

sridhar yelkur

12 Years ago

ANSWER IS OBVIOUSLY,,,,,,,,9*10*10*10*10=90000

GOPI

12 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 ..........................................