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Chapter 9 Homework: + X + X + X + X)

1) Find the coefficient of x83 in the polynomial f(x) = (x5 + x8 + x11 + x14 + x17)10. 2) How many 10-digit telephone numbers use only the digits 1,3,5 and 7, with each digit appearing at least twice or not at all? 3) Simplify the sum from n=1 to n of (n over k) where k goes from 2 to n.

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23 views1 page

Chapter 9 Homework: + X + X + X + X)

1) Find the coefficient of x83 in the polynomial f(x) = (x5 + x8 + x11 + x14 + x17)10. 2) How many 10-digit telephone numbers use only the digits 1,3,5 and 7, with each digit appearing at least twice or not at all? 3) Simplify the sum from n=1 to n of (n over k) where k goes from 2 to n.

Uploaded by

b9902233
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Chapter 9 Homework

P.445

2. Find the coefficient of x83 in f (x) = (x5 + x8 + x11 + x14 + x17 )10 .

6. How many 10-digit telephone numbers use only the digits 1,3,5 and 7, with each digit appearing at least twice
or not at all?

7. a) For what sequence of numbers is g(x) = (1 2x)5/2 the exponential generating function?

b) Find a and b so that (1 ax)b is the exponential generating function for the sequence 1,7,711, 7 11 15, ...

9. Simplify the following sum where n Z+ :




n n n n
+2 +3 ++n
1 2 3 n

(Hint :You may wish to start with the binomial theorem.)

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