Advertisement Remove all ads

There Are 10 Lamps in a Hall. Each One of Them Can Be Switched on Independently. Find the Number of Ways in Which the Hall Can Be Illuminated ? - Mathematics

There are 10 lamps in a hall. Each one of them can be switched on independently. Find the number of ways in which the hall can be illuminated ?

Advertisement Remove all ads

Solution

Total number of lamps = 10
A lamp can be either switched on or switched off.
Since, at least one lamp is to be kept switched on,
∴ The total number of ways are `2^10-1=1023`

Thus, the number of ways in which the hall can be illuminated are 1023.

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.2 | Q 48 | Page 16
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×