There are 7 letters to be delivered to 7 houses in a block, one addressed to each house. If the letters are delivered completely at random, at the rate of one letter to each house, in how many ways can this be done if (i) no letter arrives at the right house? (ii) at least one letter arrives at the right house? (iii) all letters arrive at the right house?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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There are 7 letters to be delivered to 7 houses in a block, one addressed to each house. If the letters are delivered completely at random, at the rate of one letter to each house, in how many ways can this be done if (i) no letter arrives at the right house? (ii) at least one letter arrives at the right house? (iii) all letters arrive at the right house?

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