Download the app

Questions  

The number of rational numbers lying in  the interval (2015, 2016) all whose digits after the decimal point are non-zero and are in decreasing order is

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
∑i=19 9Pi
b
∑i=110 9Pi
c
29−1
d
210−1

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is C

A rational number of the desired category is  of the form 2015. x1x2…xk and 9 ≥ x1 > x2 > … > xk ≥ 1. We can choose k digits out 9 in  9Ckways and arrange them in de creasing order in just one way. Thus, the desired number of rational numbers is  9C1+9C2+…+  9C9=29−1


Similar Questions

 nCr+2nCr1+nCr2 is equal to


whats app icon
phone icon