21 May '05 09:392 edits

Which of the following sets contains the largest number of elements? Which of the following sets contains the smallest number of elements?

Rank the sets in order of number of elements from smallest to largest.

0. The set of all positive whole numbers and 0: {0,1,2,...}

1. The set of all positive whole numbers: {1,2,3,...}

2. The set of all positive multiples of 10: {10,20,30,...}

3. The set containing all numbers on the number line between 0 and 1: (0,1).

4. The set containing all numbers on the number line between 0 and 1, plus also 0 and 1: [0,1].

5. The set containing all numbers on the number line between 0 and 1, plus also 0 but not 1: [0,1).

6. The set containing all numbers on the number line between 0 and 2: (0,2).

7. The set containing all non-negative numbers on the number line: [0,+ Infinity).

For extra credit: Without looking it up on the internet, where does the expression 'Infinity and Jelly Doughnuts' come from?

Rank the sets in order of number of elements from smallest to largest.

0. The set of all positive whole numbers and 0: {0,1,2,...}

1. The set of all positive whole numbers: {1,2,3,...}

2. The set of all positive multiples of 10: {10,20,30,...}

3. The set containing all numbers on the number line between 0 and 1: (0,1).

4. The set containing all numbers on the number line between 0 and 1, plus also 0 and 1: [0,1].

5. The set containing all numbers on the number line between 0 and 1, plus also 0 but not 1: [0,1).

6. The set containing all numbers on the number line between 0 and 2: (0,2).

7. The set containing all non-negative numbers on the number line: [0,+ Infinity).

For extra credit: Without looking it up on the internet, where does the expression 'Infinity and Jelly Doughnuts' come from?