Question

Observational study of children when asked to list 5 crayons out of a given set of 20 in order of preference. In how many ways can the ranking be made?

Answer 1

D. Contradicts; legislative changes were insignificant.

Step-by-step explanation:

The Occupy Wall Street movement, despite its widespread attention and resonance with the public, failed to yield significant legislative changes. The protests aimed to highlight economic inequality and corporate influence, yet they did not translate into substantial policy alterations or reforms. The lack of tangible legislative impact contradicts the notion that the protests led to meaningful changes in laws or regulations addressing financial corruption and the wealth disparity between the 1% and the 99%.

The movement's influence was primarily seen in raising public awareness and stimulating discourse on economic inequality and corporate greed. However, it struggled to transition from grassroots activism to actionable legislative changes. The protests did not directly result in the implementation of new laws or regulations that addressed the core grievances articulated by the movement. Despite the widespread attention garnered by the "We are the 99%" slogan and the protests, the actual influence on legislative changes remained minimal.

Ultimately, while Occupy Wall Street succeeded in amplifying societal discussions on wealth distribution and corporate accountability, its inability to effect substantial legislative changes undermines the argument that the protests led to significant shifts in policies targeting financial corruption and inequality.

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Answer 2

2,432,320, represents the total permutations of 5 crayons chosen from a set of 20. This number signifies the diverse ways children can rank their preferences within the given set.

Step-by-step explanation:

Step-by-step explanation:

To find the number of ways the children can rank 5 crayons out of a set of 20, we use the permutation formula:

nPr = n! / (n-r)!

where n is the total number of crayons (20) and r is the number of crayons to be ranked (5).

1. Calculate n!:

20! = 20 * 19 * 18 * . . . * 3* 2 * 1

2. Calculate (n-r)! :

(20-5)! = 15! = 15 * 14 * . . . * 3 * 2 * 1

3. **Substitute into the permutation formula:

20P5 = 20! / 15!

4. Cancel out common factors:

20P5 = 20 * 19 * 18 * 17 * 16 * 15! / 15!

5. Simplify:

20P5 = 20* 19* 18 * 17 * 16

6. Calculate the result:

20P5 = 2,432,320

So, there are 2,432,320 ways in which the children can rank 5 crayons out of a set of 20 in order of preference. This calculation illustrates the combinatorial possibilities when arranging a specific number of elements in a defined order, emphasizing the multitude of ways children can express their preferences.