In how many ways can a chairperson and a vice chairperson be selected from a committee of 24 senators?
1 ways
To determine the number of ways a chairperson and a vice chairperson can be selected from a committee of 24 senators, we can use the concept of combinations.
A combination is a selection of objects in which the order does not matter. In this case, we want to select a chairperson and a vice chairperson, so the order does not matter.
To calculate the number of ways, we can use the formula for combinations:
nCr = n! / (r!(n-r)!)
where n is the total number of objects and r is the number of objects we want to select.
In this case, we have 24 senators and we want to select 2 (1 chairperson and 1 vice chairperson).
Plugging the values into the formula, we have:
24C2 = 24! / (2!(24-2)!)
= 24! / (2! * 22!)
= (24 * 23 * 22!) / (2! * 22!)
= (24 * 23) / 2
= 552
Therefore, there are 552 ways to select a chairperson and a vice chairperson from a committee of 24 senators.