Question

Number of ways of distributing \(10\) identical chocolates among \(3\) children such that everyone gets at least one?

• A. \(2^4 + 3\cdot2^5 - 2\)
• B. \(2^4 - 3\cdot2^5 - 2\)
• C. \(2^5 + 4\)
• D. \(2^5 - 4\)
• E.

Hint:

For distributing identical objects where each recipient must get at least one, the formula is \(\binom{n-1}{r-1}\). If recipients can receive zero, the formula is \(\binom{n+r-1}{r-1}\).

Answer 1

The Correct Option is C