Given that,
Student council has total numbers = 10
To select one President, one Vice-President, one Secretary, one Joint-Secretary and two Executive Committee members from 10 members
Firstly, we have to select 6 members from 10 members. Which can be done in total number of ways =
C6 But there are two Executive (repetition) members
∴ That number of ways will be =
Hence, total number of ways in which we can appoint threemembers =
C6 ×
=
× [Cr=] =
= 10 × 9 × 8 × 7 × 5 × 3 = 75600