Summation of Combination Terms MCQ Quiz in বাংলা - Objective Question with Answer for Summation of Combination Terms - বিনামূল্যে ডাউনলোড করুন [PDF]
Last updated on Mar 26, 2025
Latest Summation of Combination Terms MCQ Objective Questions
Top Summation of Combination Terms MCQ Objective Questions
Summation of Combination Terms Question 1:
Comprehension:
Direction: Consider
The correct statement is
Answer (Detailed Solution Below)
Summation of Combination Terms Question 1 Detailed Solution
Calculation:
Given,
The equation is
We are asked to determine the correct relationship between the coefficients
The expansion of
From the structure of the binomial expansion of
This symmetry implies that:
and so on.
Therefore, the correct statement is:
Hence, the correct answer is Option (4)
Summation of Combination Terms Question 2:
Comprehension:
Direction: Consider
The value of a4n-1 is
Answer (Detailed Solution Below)
Summation of Combination Terms Question 2 Detailed Solution
Calculation:
Given,
The equation is
We need to find the value of
We first replace x by
We then modify the expression as follows:
By comparing the coefficients, we obtain:
Thus, the value of
Hence, the value of
Hence, the correct answer is Option (1)
Summation of Combination Terms Question 3:
Comprehension:
Direction: Consider
The value of a2 is
Answer (Detailed Solution Below)
Summation of Combination Terms Question 3 Detailed Solution
Calculation:
Given,
The equation is
We need to find the value of
The equation is expanded as follows:
We are interested in the coefficient of
From the binomial expansion, we have:
Hence, the correct answer is Option (3)
Summation of Combination Terms Question 4:
The value of
Answer (Detailed Solution Below)
Summation of Combination Terms Question 4 Detailed Solution
Given:
Series is
Concept Used:
Calculation: