a committee consists of 7 people.In how many waya a president,secretary and treasurer can be chosen
7P3 = 7*6*5
To determine the number of ways a president, secretary, and treasurer can be chosen from a committee of 7 people, we can use the concept of permutations.
The first position, which is the president, can be assigned to any one of the 7 people. After the president is chosen, there are 6 remaining people who could potentially be assigned as the secretary.
Finally, after the president and the secretary have been chosen, there are 5 remaining people who could potentially be assigned as the treasurer.
Therefore, the total number of ways to choose a president, secretary, and treasurer from a committee of 7 people is calculated as follows:
7 choices for the president × 6 choices for the secretary × 5 choices for the treasurer = 7 × 6 × 5 = 210.
So, there are 210 ways to choose a president, secretary, and treasurer from a committee of 7 people.