you are asked to choose best 6 out of 10 song.in how many ways can you choose the top 6 song?
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Given : choose best 6 out of 10 song.
To Find : how many ways can you choose the top 6 song
Solution:
Total Songs = 10
to be choose = 6
Number of ways = ¹⁰C₆
= 10!/6!.4!
= 210
In 210 Ways best 6 out of 10 song can be selected.
Additional info :
If songs need to be numbered also in top 6 like 1st 2nd 3rd upto 6 th
then these 6 songs further can arranged in 6! = 720 Ways
Hence Total Ways = 210 x 720 = 151200
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