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· 311-315 · 316-320 · 321-325 · 326-330 · 331-335 · 336-340 · 341-345 · 346-350 · 351-355 · 356-360 · 361-365 ·A vending machine accepts only pennies and nickels. a) Find a recurrence relation for the number of ways to deposit n cents where the order in which coins are deposited matters. b) What are the initial conditions for the recurrence? c) Use the recurrence to count the number of ways to deposit 12 cents.
Subject:
Math
Topic:
Discrete Structures
Posting ID:
110996
OTA ID:
101298
Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) with the initial conditions a(0)=0 and a(1)=2. Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) +12 with the initial conditions a(0)=0 and a(1)=2. For a particular solution, try a(n)=C, a constant.
Subject:
Math
Topic:
Discrete Structures
Posting ID:
110997
OTA ID:
105303
H is the relation on the set of all people given by H = {(a,b)|a and b are the same height}. Is H an equivalence relation? Explain your answer.
Subject:
Math
Topic:
Discrete Structures
Posting ID:
110998
OTA ID:
105597
A committee of size seven is to be selected from a group of ten people. In how many ways can this be done?
Subject:
Math
Topic:
Discrete Structures
Posting ID:
111026
OTA ID:
105167
Relations : Reflexive, Symmetric and/or Transitive
Determine if the relation R on the set of all people is reflexive, symmetric and/or transitive where (x,y) "E" R if and only if x and y live within one mile of each other. NOTE: I cannot correctly indicate the symbol to show "is a member of" so I have used "E" in it's place.
Subject:
Math
Topic:
Discrete Structures
Posting ID:
111027
OTA ID:
103300
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