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Ipatiy [6.2K]
4 years ago
6

The number of permutations of n elements taken r at a time is given by the formula ________.

Mathematics
1 answer:
kondor19780726 [428]4 years ago
8 0

Answer:

P(n,r) = \dfrac{n!}{(n-r)!}

Step-by-step explanation:

We have to fill the blank.

The number of permutations of n elements taken r at a time is given by the formula:

P(n,r) =^nP_r = \dfrac{n!}{(n-r)!}

Permutation is an arrangement of subsets of a larger set in regard with order of the arrangement.

where n is the the larger set and we have to choose r items from n such that there is no repetition.

In permutation, order is important.

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4 years ago
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Volgvan

Answer:

  • y-intercept: y=9
  • zeros: x= -3, -1, 1, 3

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis. On this graph, that is just below y=10. A reasonable estimate* of the y-intercept is y=9.

__

The zeros are those places on the graph where y=0. The line y=0 is the x-axis, so the zeros are the x-values of the places where the graph crosses the x-axis. Those points are clearly labeled: x = -3, -1, 1, 3.

_____

* Knowing the zeros, you can write a factored-form equation for the graph:

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You can substitute x=0 in this equation to see what the y-intercept would be:

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That is, with no scale factor applied to the function, its y-intercept would be 9. This is the same value we estimated above, so it is reasonable to assume that value is correct.

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