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Ask iit jee aieee pet cbse icse state board experts Expert Question: please derive this
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madman (239)

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the no. of ways of selecting r objects from n objects when m are identical

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kane (2203)

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the answer is nc/ m!

there are numerous options besides I.I.T

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me (120)

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HERE WE NEAD TO CONSIDER CASES

CASE 1--- WHEN NONE OF THE m IDENTICAL OBJECT IS SELECED THEN UR REQUIRED WAYS R---- n-mCr

CASE 2 ----WHEN 1OF m IS SELECTED _ NOW REQUIRED WAYS R --- n-mCr-1

AND SO ON
WE THUS GET THE ANSWER AS ----------

"" n-mCr + n-mCr-1 .....................+n-mC0 ""
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edison (4934)

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Yes its rightly mentioned as ncr / m! by Kane

The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp.
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