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IMSO 2022 — Mathematics Exploration Question 4

IMSO Maths · IMSO 2022 — Mathematics Exploration

Question 4

A REVERSE machine reverses the order of the input characters. A 2-COMBINE machine joins the upper input before the lower. A 3-COMBINE machine joins the top, middle, then bottom input.

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Question illustration

Question illustration

Use the following network of three REVERSE, one 2-COMBINE and one 3-COMBINE machines.

Question illustration

(a) Give two choices of INPUT 1, INPUT 2, INPUT 3 and INPUT 4 that produce ILOVEIMSO19. (b) How many such choices exist? Each input must contain at least one character. The source says “letter”; its examples include the digits 1 and 9 as characters.