From 7 candidates of which 4 are males and 3 are females,how many ways can the positions of president,vice-president and Treasurer be filled if the president must be female and the other two positions must be males.
To solve this problem, we need to use the concept of permutations. A permutation is an arrangement of objects in a specific order.
First, let's determine the number of ways to choose a female candidate for the position of president. Since there are 3 females to choose from, there are 3 ways to do so.
Next, we need to choose 2 male candidates for the positions of vice-president and treasurer. Since there are 4 males to choose from, we can choose the vice-president in 4 ways, and once we have chosen the vice-president, there will be 3 males left to choose from for the position of treasurer. Therefore, there are 4 * 3 = 12 ways to choose the vice-president and treasurer.
To get the total number of ways to fill the positions, we multiply the number of ways to choose a female president (3) by the number of ways to choose the male candidates for the other two positions (12).
So, the total number of ways to fill the positions is 3 * 12 = 36.