Solution Please question of Binomial Theorem
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Answer :
Required Coefficient = 8
Explanation :
According to the question :
In expansion of,
( 1 + x ) ( 1 + x^2 ) ( 1 + x^3 )....... ( 1 + x^100 )
x^9 can be found in the following ways :
( x^9 ) , ( x^1+8 ) , ( x^2+7 ) , ( x^3+6 ) , ( x^4+5 ) , ( x^1+2+6 ) , ( x^1+3+5 ) , ( x^2+3+4 )
or Can use Terms having ' x '
The coefficient of x^9 in each of the above 8 cases is 1 .
☃️ Therefore, Required Coefficient = 8.
❥ So, It's Done ❥ !!
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