Question 560244: Are these answers correct ?
All groups do question # 1, their group question, and prepare to respond to one other question. For each question determine if the situation is a permutation or combination and if it is with or without replacement, then determine the answer.
Identify each of the following 1) as a permutation or combination and 2) as with or without replacement:
Social security numbers permutation and without replacement
Books in your backpack Combination and without replacement
Numbers chosen for the “Big” lotto Combination and with replacement
The cards in your hand for a card game Combination and without replacement
Lunch chosen by a student from the cafeteria menu Combination and with replacement.
5 A cafeteria offers 4 main menu selections, 5 salad selections, 3 fruit selections and 8 drink selections. How many ways can a student choose a lunch if
The student chooses one of each of the selections?
4*5*3*8=480 selections
The student chooses two different main menu selections (must be different) and one salad?
30
In calculator select 4, nCr, 2=6; same with 5C_r =5 5*6=30
The student chooses 3 salads (different), and a fruit?
=30
The student chooses 4 salads (must be different), and a fruit?
=15
The student chooses 5 items (main, salad or fruit), all different, and a drink?
6336
The student chooses 2 different main menu items, 2 different salads, 2 pieces of different fruits and 1 drink (he plays football and is hungry!)
1440
Which of these are combinations and which are permutations? Which are with and which without replacement?
All of them are combination and without replacement.
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! After a bunch of painful calculations, I agree with all your numbers.
I also agree with all your classification, except that I do not know what to call social security numbers. The social security numbers I know have repetitions. Can someone have 111-11-1111 as a social security number? What about 000-00-0000? Maybe all such numbers are permissible, for a total of 10^9 possible social security numbers. Would you call it a permutation with replacement?
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