In a school, n+100 students have access to three software packages A, B and C. n-1 did not use any software n-2 used only packages A う n-3 used only packages B n-4 used only packages C n-5 used all three packages n-6 used both A and B. where n is your arid number i.e. 19-arid-234 take n=234 a) Draw a Venn diagram with all sets enumerated as for as possible. Label the two subsets which cannot be enumerated as x and y in any order. b) If twice as many students used package B as package A, write down a pair of simultaneous equations in x and y. c) Solve the equations to find x and y. d) How many students used package C?

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter14: Counting And Probability
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In a school, n+100 students have access to three software packages A, B and C.
n-1 did not use any software
n-2 used only packages A
n-3 used only packages B
n-4 used only packages C
n-5 used all three packages
n-6 used both A and B.
where n is your arid number i.e. 19-arid-234 take n=234
a) Draw a Venn diagram with all sets enumerated as for as possible. Label the
two subsets which cannot be enumerated as x and y in any order.
b) If twice as many students used package B as package A, write down a pair of
simultaneous equations in x and
у.
c) Solve the equations to find x and y.
d) How many students used package C?
Transcribed Image Text:In a school, n+100 students have access to three software packages A, B and C. n-1 did not use any software n-2 used only packages A n-3 used only packages B n-4 used only packages C n-5 used all three packages n-6 used both A and B. where n is your arid number i.e. 19-arid-234 take n=234 a) Draw a Venn diagram with all sets enumerated as for as possible. Label the two subsets which cannot be enumerated as x and y in any order. b) If twice as many students used package B as package A, write down a pair of simultaneous equations in x and у. c) Solve the equations to find x and y. d) How many students used package C?
(В)
Consider the graphs K,, K,3 and K,, in figure given below. Find and draw an Euler
(traversable) path or an Euler circuit of each graph, if it exists. If it does not, why
not?
會圣多
B
A
B
B
D
D
E
F
E
E D
(a)
(b)
(c)
Answer:
Transcribed Image Text:(В) Consider the graphs K,, K,3 and K,, in figure given below. Find and draw an Euler (traversable) path or an Euler circuit of each graph, if it exists. If it does not, why not? 會圣多 B A B B D D E F E E D (a) (b) (c) Answer:
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