hw08sol

# hw08sol - Math 55 Discrete Mathematics Fall 2008 Homework 8...

This preview shows pages 1–2. Sign up to view the full content.

Math 55: Discrete Mathematics, Fall 2008 Homework 8 Solutions *[3,3 and 4 points] 5.5: 10(a) ( 12+6 - 1 12 ) (choosing 12 things from 6 with repetitions) (c) ( 12+6 - 1 12 ) (the ﬁrst two of each kind make 12 and you have a dozen left to choose freely) (f) ( 15+6 - 1 15 ) - ( 11+6 - 1 11 ) (count choices without any restriction on broccoli, then subtract those with at least 4 broccoli) 34. ( 5 3 , 2 ) + ( 5 3 , 1 , 1 ) + ( 5 2 , 3 ) + ( 5 2 , 2 , 1 ) + ( 5 1 , 3 , 1 ) + ( 6 3 , 3 ) + ( 6 3 , 2 , 1 ) + ( 6 2 , 3 , 1 ) + ( 7 3 , 3 , 1 ) (one term for each possible number of E’s, S’s and R’s adding up to at least 5) 42. ( 52 13 , 13 , 13 , 13 ) = 52! / (13!) 4 6.1: 8. ( 51 4 ) / ( 52 5 ) 16. 4 ( 13 5 ) / ( 52 5 ) 18. 4 · 10 / ( 52 5 ) 30. 6 · 34 / ( 40 6 ) (I assume that the problem intends an unordered subset of 6 integers chosen at random from { 1 ,..., 40 } . The numerator counts subsets that match exactly 5 of the player’s chosen 6.) 36. 8 is more likely with two dice than three. With two dice,

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

hw08sol - Math 55 Discrete Mathematics Fall 2008 Homework 8...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online