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Combinari - exercitiu rezolvat 3

C 0100   + C 99100   = ?
(combinari de 100 luate cate 0 plus combinari de 100 luate cate 99)


Se aplica formula combinarilor: combinari de n luate cate k si rezulta:

cand k = 0 => C kn  = 1
stim ca n! = 1*2*3*.....n-1*n

Astfel ca =>

C 0100   + C 99100   = 1 + 100! / 99! (100 - 99)!
=> 1 + 99! * 100 / 99! * 1
=> 1 + 100