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In a school, 100 students have access to three software packages, A, B and C 28 did not use any software 8 used only packages A 26 used only packages B 7 used only packages C 10 used all three packages 13 used both A and B (1) 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. ii) If twice as many students used package B as package A, write down a pair of simultaneous equations in x and y. i) Solve these equations to find x and y.

In a school, 100 students have access to three software packages, A, B and C 28 did not use any software 8 used only packages A 26 used only packages B 7 used only packages C 10 used all three packages 13 used both A and B (1) 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. ii) If twice as many students used package B as package A, write down a pair of simultaneous equations in x and y. i) Solve these equations to find x and y.

Advanced Engineering Mathematics
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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perform your work on paper and submit through file In a school, 100 students have access to three software packages, A, B and C 28 did not use any software 8 used only packages A 26 used only packages B 7 used only packages C 10 used all three packages 13 used both A and B (i) 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. (ii) If twice as many students used package B as package A, write down a pair of simultaneous equations in x and y. Solve these equations to find x and y. How many students used package C? (iii) (iv)
Transcribed Image Text:perform your work on paper and submit through file In a school, 100 students have access to three software packages, A, B and C 28 did not use any software 8 used only packages A 26 used only packages B 7 used only packages C 10 used all three packages 13 used both A and B (i) 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. (ii) If twice as many students used package B as package A, write down a pair of simultaneous equations in x and y. Solve these equations to find x and y. How many students used package C? (iii) (iv)
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