The number of ways in which 20 identical one rupee coin can... | MATH - DEFINITON OF COMBINATIONS, CONDITION COMBINATIONS, DIVISION INTO GROUPS, DERANGEMENTS | SolveeIt | Solveeit

Today, August 23

Question

The number of ways in which 20 identical one rupee coin can be distributed among 5 persons such that each person gets at least 3 rupees is-

A

26

B

63

C

125

D

None of these

Answer

None of these

Explanation

Solution

Distribute 3 coins to each person.

Now distribute wrong (20 – 15) = 5 coin among 5 persons such that any person can get any no of coins

= ^{5 + 5 – 1}C_5–1 = ⁹C₄ = $\frac{9 \times 8 \times 7 \times 6}{\begin{matrix} 4 \end{matrix}}$ = 126