How many committies are often of 3girls and 5 boys, in which the 1 committie cotains 3 persons in which one is girl

CBSE Class 11-science Answered

How many committies are often of 3girls and 5 boys, in which the 1 committie cotains 3 persons in which one is girl

Asked by aadeshpdabre | 22 Feb, 2016, 04:28: PM

Expert Answer

begin mathsize 14px style A space c o m m i t t e e space o f space 3 space p e r s o n s space i s space t o space b e space m a d e space w h i c h space i n c l u d e s space 1 space g i r l. T h u s comma space 1 space g i r l space c a n space b e space s e l e c t e d space f r o m space 3 space g i r l s space i n space C presuperscript 3 subscript 1 space w a y s space a n d r e m a i n i n g space 2 space b o y s space c a n space b e space s e l e c t e d space f r o m space 5 space b o y s space i n space C presuperscript 5 subscript 2 space w a y s. T h u s comma space R e q u i r e d space n u m b e r space o f space c o m m i t t e e s space equals C presuperscript 3 subscript 1 cross times space C presuperscript 5 subscript 2 equals 3 cross times fraction numerator 5 factorial over denominator 3 factorial space 2 factorial end fraction equals 3 cross times fraction numerator 5 cross times 4 cross times 3 factorial over denominator 3 factorial cross times 2 cross times 1 end fraction equals 3 cross times 10 equals 30 end style

Answered by Rashmi Khot | 22 Feb, 2016, 05:36: PM

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