For students are randomly selected from a class of 25 to answer questions from reading assignment.
In how many ways the four be selected if order does not matter?
25C4 = 12,650
In how many ways can the four be selected if they are assigned a particular passage to read?
25P4= 30,3600
am i correct? thank you
looks good to me, except for the misplaced comma
Yes, you are correct.
For the first question, you need to use the combination formula because order does not matter. The formula for combination is nCr, where n is the total number of items to choose from and r is the number of items you want to select. In this case, you have to select 4 students from a class of 25 without considering the order. So the formula becomes 25C4, which is equal to 12,650.
For the second question, you need to use the permutation formula because order matters. The formula for permutation is nPr, where n is the total number of items to choose from and r is the number of items you want to select. In this case, you have to select 4 students from a class of 25 while considering the order, as they are assigned a particular passage to read. So the formula becomes 25P4, which is equal to 30,360.
Well done!
Yes, you are correct in your calculations. The notation "25C4" represents the combination formula, which is used when order does not matter. Therefore, there are 12,650 ways to select four students from a class of 25 when the order does not matter.
On the other hand, the notation "25P4" represents the permutation formula, which is used when order matters. Since the four students are assigned a particular passage to read, the order does matter. Therefore, there are 30,360 ways to select four students when they are assigned a particular passage to read.
Well done on your calculations! Let me know if you have any further questions.