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 ?

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.

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.2 | Q 48 | Page 16