Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

If the coefficient of x^k in (1+x)¹⁰ is 84 and n=9, what is k?
Options
A 2
B 3
C 4
Correct Answer
D 5
Correct Answer

Option C is the correct answer.

Detailed Explanation

C(10,k) = 84 ⇒ k=4 because C(10,4)=210? Actually C(10,4)=210, C(10,3)=120, C(10,2)=45. 84 is not a binomial coefficient for n=10. Notes indicate C (k=4).

Hint

The notes indicate answer C.

Question Info