Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A person is permitted to select at least one and at most n coins from a collection of 
distinct coins. If the total number of ways in which he can select coins is 255, then n equals
Text Solution
Verified by ExpertsThe correct answer is:
A
Since the person is allowed to select at most n coins out of (2 n + 1) coins, therefore in order to select one, two, three, …., n coins. Thus, if T is the total number of ways of selecting one coin, then
…..(i)
Again the sum of binomial coefficients
= 
⇒ ⇒ 
⇒ ⇒ 
⇒ ⇒ 
.
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