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Liberal Arts Mathematics II

03-14-2008

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18:58:23

`questionNumber 30000

Query 11.3.20 5 prizes among 25 students

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RESPONSE -->

25*24*23*22*21 chioces

25*24*23*22*21=25! / (25-5)

p(25,5)

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19:01:30

`questionNumber 30000

Is repetition allowed in this situation?

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RESPONSE -->

no because thereare five different prizes and you can't give the same one to two people.

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19:03:55

`questionNumber 30000

Query 11.3.30 3-letter monogram all letters different

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RESPONSE -->

26*25*24

p(26/ 3)

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19:08:01

`questionNumber 30000

Query 11.3.42 divide 25 students into groups of 3,4,5,6,7. In how many ways can the students be grouped?

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RESPONSE -->

c(25, 3)

c(22,4)

c(18,5)

c(13,6)

c(7,7)

25! / 3!*4!*5!*6!*7!

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19:17:48

`questionNumber 30000

Query 11.3.60 C(n,0)What is the value of C(n,0)?What is the value of C(8,0)?

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RESPONSE -->

c(n,0)= n! /[(n-0)!*0!]=n!/ (n!*1)=1

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?s????T{????????b?assignment #004

004. `query 4

Liberal Arts Mathematics II

03-14-2008

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19:21:50

`questionNumber 40000

Query 11.4.6 Find C(9,6) on Pascal's triangle.

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RESPONSE -->

n= the 9th row

r= 6th position, and the 10th row, and the 7th number in the row

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19:25:23

`questionNumber 40000

Query 11.4.18 clueless check of four of nine possible classroomsHow many of the possible selections will fail to locate the classroom?

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RESPONSE -->

c(9, 4) possible combos for 4 classrooms

c(8,4) possible combos for 4 classrooms failed

(9,4)=126

(8,4)=70

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19:26:01

`questionNumber 40000

Query 11.4.30 What sequence by totaling diagonals of Pascal's Triangle?

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RESPONSE -->

1,1,2,3,5,8,13,21.......

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19:32:41

`questionNumber 40000

Query 11.4.42 (x+y)^8

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RESPONSE -->

(x + y)^8

=x^8+c(8,1)x^7y+c(8,2)x^6y^2+c(8,3)x^5y^3+c(8,4)x^4y^4+c(8,5)x^3y^5+c(8,6)x^2y^6+c(8,7)x^7y+y^8

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19:34:01

`questionNumber 40000

Query Add comments on any surprises or insights you experienced as a result of this assignment.

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RESPONSE -->

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"

You are doing well but you should check your solutions against the solutions given by the Query program and be sure you understand all details. See my notes on your early assignments about using the program properly.