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?

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?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

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:

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