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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 ?
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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
Thus, the number of ways in which the hall can be illuminated are 1023.
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
Thus, the number of ways in which the hall can be illuminated are 1023.
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Question Text | 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 ? |
Updated On | Sep 26, 2023 |
Topic | Permutations and Combinations |
Subject | Mathematics |
Class | Class 11 |
Answer Type | Text solution:1 Video solution: 3 |
Upvotes | 303 |
Avg. Video Duration | 7 min |