If 10 applying for Principal , 12 for Vice Principal and 5 for Office administrator. How many unique committees can be formed?
10*12*5
if a committee consists of one of each of those offices.
To find the number of unique committees that can be formed, we will add the number of possibilities for each position.
For the Principal position, we have 10 applicants to choose from.
For the Vice Principal position, we have 12 applicants to choose from.
For the Office Administrator position, we have 5 applicants to choose from.
To find the total number of unique committees, we need to multiply these numbers together:
Total number of unique committees = Number of applicants for Principal * Number of applicants for Vice Principal * Number of applicants for Office Administrator
Total number of unique committees = 10 * 12 * 5
Total number of unique committees = 600
Therefore, there are 600 unique committees that can be formed.
To find out the number of unique committees that can be formed, we need to calculate the combination of positions filled by candidates.
First, let's find out the number of ways to select a Principal from the 10 applicants. Since there is only one Principal position, there are 10 options.
Next, let's find out the number of ways to select a Vice Principal from the 12 applicants. Again, since there is only one Vice Principal position, there are 12 options.
Finally, let's find out the number of ways to select an Office Administrator from the 5 applicants. Once again, since there is only one Office Administrator position, there are 5 options.
To calculate the total number of unique committees that can be formed, we need to multiply these options together:
10 (options for Principal) × 12 (options for Vice Principal) × 5 (options for Office Administrator) = 600.
Therefore, there can be 600 unique committees formed.