Suppose president should select from the pool of 25 candidates comprising of 15 men and 10 women.
i) how many ways are there of filling all positions of the cabinet if we suppose that each position be filled by the different person and take into account which position each has been allotted?
ii) how many ways are there of filling all positions of th ecabinet if we suppose that each position be filled by the different person and don't take into account which position each has been allotted?
iii) Suppose part (ii) how many ways are there of filling cabinet with 8 men and 7 women?