A combination lock requires five selections of characters. Each character is either an integer from 0 through 9, an upper-case letter from A through Z, or a lower-case letter from a through z. In other words, there are 62 characters to choose from (10 numbers, 26 upper-case letters, and 26 lower-case letters). Moreover, the locks are constructed in such a way that no character may be used more than once (a) How many different combinations are possible? (b) What is the probability that a randomly chosen combination will have no numbers?

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
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A combination lock requires five selections of characters. Each character is either an integer from 0
through 9, an upper-case letter from A through Z, or a lower-case letter from a through z. In other
words, there are 62 characters to choose from (10 numbers, 26 upper-case letters, and 26 lower-case
letters). Moreover, the locks are constructed in such a way that no character may be used more than
once

(a) How many different combinations are possible?
(b) What is the probability that a randomly chosen combination will have no numbers?

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