5. The Infinite House of Pancakes (IHOP) offers 35 dif- ferent kinds of pancakes. You would like to order a stack of three pancakes. How many different choices do you have, considering that you care about the or- der in which the pancakes are stacked? (In other words, pecan/blueberry/pecan is a different choice from pecan/pecan/blueberry.) (a) P(35,3) (b) 75 (c) 35ª (d) 335 (e) C(35,3) (f) none of the above

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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#5 is C but please show how you would get this answer

**Problem 5**: The Infinite House of Pancakes (IHOP) offers 35 different kinds of pancakes. You would like to order a stack of three pancakes. How many different choices do you have, considering that you care about the order in which the pancakes are stacked? (In other words, pecan/blueberry/pecan is a different choice from pecan/pecan/blueberry.)

Options:
- (a) \( P(35,3) \)
- (b) 75
- (c) \( 35^3 \)
- (d) \( 3^{35} \)
- (e) \( C(35,3) \)
- (f) none of the above

**Problem 6**: Four tennis players decide to play one ‘doubles’ game each day (two players on each team) until all possible team combinations are used. How many days will they play?

Options:
- (a) 1
- (b) 3
- (c) 6
- (d) 12
- (e) 24
- (f) none of the above
Transcribed Image Text:**Problem 5**: The Infinite House of Pancakes (IHOP) offers 35 different kinds of pancakes. You would like to order a stack of three pancakes. How many different choices do you have, considering that you care about the order in which the pancakes are stacked? (In other words, pecan/blueberry/pecan is a different choice from pecan/pecan/blueberry.) Options: - (a) \( P(35,3) \) - (b) 75 - (c) \( 35^3 \) - (d) \( 3^{35} \) - (e) \( C(35,3) \) - (f) none of the above **Problem 6**: Four tennis players decide to play one ‘doubles’ game each day (two players on each team) until all possible team combinations are used. How many days will they play? Options: - (a) 1 - (b) 3 - (c) 6 - (d) 12 - (e) 24 - (f) none of the above
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