(15!)/(10!5!) + (15!)/(11!4!) = (16!)/(11!5!)
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Answer:
Step-by-step explanation:
(15!) /(10! 5!) + (15! )/(11! 4!)
=15! [1/(10! 5!) +1/(11! 4!) ]
=15!/(11! 5!) [1/(10! /11!) +1/(4! /5!) ]
=15! /(11! 5!) [1/(1/11) +1/(1/5) ]
=15! /(11! 5!) [11+5]
=16×15! /(11! 5!)
=16! /(11! 5!) [Proved]
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