Exam logic evaluation analysis (to increase the traffic section)

Number of questions: 37

Presentation list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37]

1. The first month a total of 10 pen Required Business (upper limit of 10 pen)

[1, 5/8, 7/17/18, 15, 25, 30, 26, 28, 31, 37]

1.1 the number of permutations:

1.1.1

  The first pen is fixed at the first day.

1.1.2

  Time must be the last day [26, 28, 31, 37] on the last four, wherein 37 is fixed in the final position

        1    [7,8,9]     10
X1 = A(1,1) * A(2,2) * A(1,1)
1.1.3

  a is 15, b is 5/8, c1 is 7/17/18, c2 to 25, c1 before c2, d is 30, a total of 5

a b c1c2 d
X2 = A(4,4) * C(1,3)
1.1.4

  Therefore, the total number of arrayed sum = X1 * X2 = 6 * 6 * 2 * 3 = 144‬.

1.2 the number of combinations:

The number of combinations is:

        5/8      7/17/18
sum = C(1,2) * C(1,3) = 6

1.3 Summary:

  Because the current increase in business activity using a choice of three operations corresponding to the increase, but ten questions have three choices for each question 3*10=30, but only a combination of the number 6, the number of permutations is very small,

will cause the currently selected type of activity many times do not match, the user need click to add other types of activities,

the number of combinations and permutations of the number is too small, the more frequently this occurs, the second month similar. .

We then have three options:

  1. Inform the user select other activities (notice may lead to more frequent users).
  2. If the selected type of business is not qualified, a direct increase in business as a qualified (but users will feel confused, and increase their own choice is not the same).
  3. Only the user to select 增加和撤销two options.

2. The second month of a total of 8 pen Required Business (upper limit of 10 pen)

[26, 28, 30, 31, 33, 34, 36, 37]

1.1 the number of permutations:

  1. Time must be the last day [26, 28, 31, 37] on the last four, wherein 37 is fixed in the final position.

to sum up

  Currently more recommended programs are:

  1. Only the user to select 增加和撤销two options.
  2. Full-time generation business, if you feel bad-generated, can regenerate (which is a better, because selectively already low, one-time generation equipment can also reduce server stress).

Combination arrangement formula:

! A (m, n-) = n-/ [! (N-- m)]

C (m, n-) = n-* / [m * (n-- m)!!]!

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Origin www.cnblogs.com/coodyz/p/12539070.html