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.
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.
Each lamps has two possibilities either itican be. switched on or off. There are 10 lamps in the hall. So the total numbers of possibilities are 2^{10}.
To illuminate the hall we require at least one lamp is to be switched on. here is one possibility when all the lamps are switched on.
There is one possibllity when all the lamps are switched off. If all the bulbs are switched off then hall will not be illuminated.
So the number of ways in which the hall can be illuminated is 210−1. P.Q. A coin is tossed 3 times find the outcomes are recorded. How many possible outcomes are there ?
Since the toss of a coin can result in a head or a tail.
∴ Total number of possible outcomes when coin is tossed 3 times = 2×2×2=8
Each lamps has two possibilities either itican be. switched on or off. There are 10 lamps in the hall. So the total numbers of possibilities are 2^{10}.
To illuminate the hall we require at least one lamp is to be switched on. here is one possibility when all the lamps are switched on.
There is one possibllity when all the lamps are switched off. If all the bulbs are switched off then hall will not be illuminated.
So the number of ways in which the hall can be illuminated is 210−1. P.Q. A coin is tossed 3 times find the outcomes are recorded. How many possible outcomes are there ?
Since the toss of a coin can result in a head or a tail.
∴ Total number of possible outcomes when coin is tossed 3 times = 2×2×2=8
