Q no. 25 
Ans. is A, D
Total number of ways in which a king can distribute 100 identical diamonds among 3 prince Ram, 
Shyam and Balram such that each get at least one and Ram, Shyam & Balram get at most 75, 50 and 25 
diamonds respectively- ​
A) ⁹⁹C₉₇ - ⁴⁹C₄₇ - ⁷⁴C₇₂                                          B) ⁹⁹C₉₇ - ⁵⁰ C ₄₈  -⁷²C_73
C)  ⁹⁹C₂ - ⁵⁰ C₂ - ⁷⁵C₂ ​ ​                                              D) ⁹⁹C ₂  - ⁴⁹C₂ - ⁷⁴C₂ ​