Question number 14 14 The highest power of 18 contained in 50C25 is (A) - Maths - Binomial Theorem

Question

Question number 14

14       T h e   h i g h e s t   p o w e r
  o f   18   c o n t a i n e d   i n   50
C 25   i s   ( A )       3    
                 
                 
                 
                 
                 
            ( B )    
    0 ( C )     1        
                 
                 
                 
                 
                 
          ( D )       2

Amit Shukla · Accepted Answer

Dear Student,

As we know;18=2×3×3=2×32Now,50C25 =50!25!=126410606437752 = 2×2×2×3×3×7×7×13×29×31×37×4143×47=23×32×72×13×29×31×37×41×43×47We can write it as;126410606437752=22×2×32×72×13×29×31×37×41×43×47=22×18×72×13×29×31×37×41×43×47it is clear that highest power of 18 is '1' So, option C is correct

Hope, you will find this answer helpful

Question number 14 14 . T h e h i g h e s t p o w e r o f 18 c o n t a i n e d i n 50 C 25 i s ( A ) 3 ( B ) 0 ( C ) 1 ( D ) 2

Question number 14

$14 . T h e h i g h e s t p o w e r o f 18 c o n t a i n e d i n^{50} C_{25} i s (A) 3 (B) 0 (C) 1 (D) 2$