Question

how many numbers less than 1000 can be formed with the digits 0,1,2,3,4,5 no digit being repeated in any number​

Answer 1

Answer:

Answer

Correct option is

B

131

Given that no. of numbers less than 1000 that can be formed out of the digits 0,1,2,3,4 & 5

(1) 3 digit numbers

Chooses the frist digit any of 5 ways

(It can't be 0)

Choose the second digit any of 5 ways

(It can be 0)

Choose the third digit any of 4 ways

i.e., (5)(5)(4)=25×4

=100

(2) 2 digit numbers

Choose the first digit any of 5 ways

(It can't be 0)

Choose the second digit any of 5 ways

(It can be 0)

i.e., 5×5=25

∴ It is 2 digit number

(3) 1-digit numbers: There are only of

6 ways 0,1,2,3,4,5=6

∴ Total=100+25+6=131.

Step-by-step explanation: