Question

cos2x into cos x by 2 minus Cos 3 X into cos 9 x by 2 is equal to sin 5 x into sin 5 x by 2

Hi Team,
Following is the problem I am stuck on.
Out of 100 students, two sections of 40 and 60 are formed. If you and your friend are among the 100 students, what is the probability that
(a) you both enter the same section?
(b) you both enter the different sections?

Please explain the solution in detail.
Thanks,
Shouvik

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