Let A be the set of five-digit numbers where only the digits 1, 2 and 3 are included. For example 12331, 23211 and 32223 will be included in A. a)How many numbers in A does the digit 1 contain exactly twice? b)How many numbers in A do not have two 1s next to each other? For example, have 32113 and 31112 two 1s next to each other, but it does not have 13122, 12121 and 23232. c)How many numbers in A are there that have a cross sum equal to 10? This applies, for example the numbers 31231 and 32122, but not 32123.

Let A be the set of five-digit numbers where only the digits 1, 2 and 3 are included. For example 12331, 23211 and 32223 will be included in A. a)How many numbers in A does the digit 1 contain exactly twice? b)How many numbers in A do not have two 1s next to each other? For example, have 32113 and 31112 two 1s next to each other, but it does not have 13122, 12121 and 23232. c)How many numbers in A are there that have a cross sum equal to 10? This applies, for example the numbers 31231 and 32122, but not 32123.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter11: Rational And Irrational Numbers

Section11.8: Adding And Subtracting Radicals

Problem 5E

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