Question:
If the sum of binomial coefficients in the expansion of ( x + y) n is 256, then the greatest binomial coefficient occurs in which one of the following terms?
If the sum of binomial coefficients in the expansion of ( x + y) n is 256, then the greatest binomial coefficient occurs in which one of the following terms?
Options:
- a) Third
- b) Fourth
- c) Fifth
- d) Ninth
- a) Third
- b) Fourth
- c) Fifth
- d) Ninth
correct answer : c)
Explanation:
Put x = 1 and y = 1, we get
Sum of coefficients = 2n = 256
T otal terms = 8 + 1 = 9
Greatest ter m = middle ter m = 91
2
+
= 5th term
Put x = 1 and y = 1, we get
Sum of coefficients = 2n = 256
T otal terms = 8 + 1 = 9
Greatest ter m = middle ter m = 91
2
+
= 5th term