Permutations And Combinations Question 343
Question: ’n’ is selected form the set $ {1,2,3…,100} $ and the number $ 2^{n}+3^{n}+5^{n} $ is formed. Total number of ways of selecting ’n’ so that the formed number is divisible by 4, is equal to
Options:
A) 50
B) 49
C) 48
D) None of these
Correct Answer: B $ \Rightarrow 2^{n}+3^{n}+5^{n} $ is not divisible by 4, as $ 2^{n}+3^{n}+5^{n} $ will be in the form of $ 4\lambda +2. $ Thus total number of ways of selecting ?n? is equal to 49.
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Answer:
Solution:
BETA
