For a movie of ticket 50 rupees there are 2n members.out of which n members have 50 rupee notes and others have 100 rupee notes.how many ways can we arrange them so that there is no issue of change.

Dear student

Matrix A be students with Rs 50/-
{ 1,2,3.....n}

Matrix B be students with Rs 100/-
{ 1,2,3.....n}

Every element from A sits between 2 elements from B barring the starting condition

we have n! ways for which there is no issue of change

Regards