3. In how many ways can this diagram be coloured subject to the following two conditions? (i.) Each of the smaller triangle is to be painted with one of the three colours: White, black or blue. (ii.) No two adjacent regions have the same colour.

3. In how many ways can this diagram be coloured subject to the following two conditions? (i.) Each of the smaller triangle is to be painted with one of the three colours: White, black or blue. (ii.) No two adjacent regions have the same colour.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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

3. In how many ways can this diagram be coloured subject to the following
two conditions?
(i.) Each of the smaller triangle is to be painted with one of the three
colours: White, black or blue.
(ii.) No two adjacent regions have the same colour.
If "C, = "C,, then n is equal to
4.
If "P, = 840, "C, = 35, then r = ,
5.
1SC, + 1$C, - 1C, - "C, =
6.

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