Question

How many numbers greater than 6000 and less than 10000 are their in which all the digits are different. Select one:?

Answer 1

hey buddy

no. is = 6789

all are different digest

Answer 2

Answer: 2016

Step-by-step explanation:

The numbers lies between 6000 and 10000 are all four digits number which whose extreme left digit is 6

Now the digit will be 6 _ _ _

now the digit that can filled the blank place is 0,1,2,3,4,5,6,7,8,9

There are total 10 choices but 6 will be excluded as it is in the extreme left position

therefore Number starting from 6

Number of choices for the ones place = 9

as all digits is different

Number of choices for the tenth place = 8

Number of choices for the hundredth place = 7

Therefore All the numbers starting from 6  = 9 x 8 x 7 = 504

similarly number starting from 7 = 504

Numbers starting from 8 = 504

Numbers starting from 9 = 504

Total numbers = number starting from 6 + number starting from 7 + number starting from 8 + number starting from 9 = 504+504+504+504=2016

Hence, we have 2016 numbers no digit repeated between 6000 and 10000