Statement I: The constant term of ( x + x − 1 + 2 ) m is (( 2 m )! ) 2 ( 4 m )! . Statement II: The coefficient of x k in ( 1 + x ) n is ( k n ) .

Question

Statement I: The constant term of ( x + x − 1 + 2 ) m is (( 2 m )! ) 2 ( 4 m )! ​ . Statement II: The coefficient of x k in ( 1 + x ) n is ( k n ​ ) .

TestHub · Accepted Answer

( x + x − 1 + 2 ) m = x − m ( 1 + x ) 2 m , whose constant coefficient is ( m 2 m ​ ) , not ( 2 m 4 m ​ ) . II is the binomial theorem. The printed source's solution belongs to a different question.

Mathematics - Binomial Theorem Question with Solution | TestHub

Options:

Doubts & Discussion