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Grade: 12

                        

dolly is watching t.v which has only 4 channels and they are boring. so she changes the channels fter every minute.no.of ways she can change the channels in first 4 minutes so that after 4 minutes she get the oriinal channel back

11 months ago

Answers : (2)

Arun
25211 Points
							
if A,B,C,and D are chennel , and he can change the channel in both side( assume cyclic arrenge ment , becaus he can either increase the channel no or decrease  the channel no ) so for after 4th  time  he will get the original (1st ) channel there is only one way . and now we can see he has two ways to go  so total number of ways he can change channel is 2*2*2*2 = 16
11 months ago
Vikas TU
13784 Points
							
Dear student
If we designate the original channel C1, then Dolly has three choices after the first minute, which we call C2, C3, C4. For each such choice, she has two choices after the second minute, namely the two that she has not yet selected. For each such choice, she also has two choices after the third minute, the channel she has not yet selected or the channel she selected after the first minute. Since Dolly must return to her original channel after the fourth minute, she has 3⋅2⋅2=12 ways to return to the original channel for the first time after the four minutes.
Good Luck 
11 months ago
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