(1) Some of these are combinations and some aren’t exactly. You don’t need to find the answer, you just need to say why it is or isn’t a combination.(a) The number of different ice-cream-plus-topping desserts you can order off a menu (b) The number of different ways I can put you in a problem solving group (c) The number of Massachusetts license plates (d) The number of ways my son can pick out two books from his shelf

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ISBN:9780470458365
Author:Erwin Kreyszig
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Please help explain this question for me. I want to understand the idea behind it. Thanks a lot. And please, if possible, kindly type the answers. Thank you. 

 

(1) Some of these are combinations and some aren’t exactly. You don’t need to find the
answer, you just need to say why it is or isn’t a combination.(a) The number of different ice-cream-plus-topping desserts you can order off a menu
(b) The number of different ways I can put you in a problem solving group
(c) The number of Massachusetts license plates
(d) The number of ways my son can pick out two books from his shelf

Expert Solution
Step 1

Dear it's very easy , just read the question twice and try to understand the question, what is asked ? 

(I)You are asked to arrange some objects in specific way,

      Or

(II)you are asked to select some objects from a given number of objects.

 

If you have to arrange then it is permutation and if you have to select then it is combination.

That is for case (I) it is permutation.

And for case(II) it is combination.

And for multiple work , you have to apply basic principle of counting.

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