Question

What is the number of integers greater than one million that can be formed using the digits 2,3,0,3,4,2,3

Answer 1

Sol:

Here one million = 10,00,000.Given numbers are 2,3,0,3,4,2,3.

A number greater than 1000000 has 7 places,and all the digits are to be used.But 2 is repeated twice and 3 is repeated thrice.

Total number of ways arrangeing 7 digits = 7! / 21 3! = 420.

But the numbers begin with 0 are no more seven digit numbers then reject those numbers.

There fore, these can be arranged in 6!/ 2!3! = 60

∴ required number of arrangements = 420 - 60 = 360.