of the above expressions are correct?

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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Use the following information to answer the next question
Leonidas is having a party and is planning to play some great music over the dinner hour. He made a short list
of 18 songs that include 10 classical songs and 8 jazz songs. Over the dinner hour it is decided that of the 18
songs, 4 classical songs and 3 jazz songs will be selected, and then arranged into an order to be played.
To determine the number of potential music arrangements for the party the following expressions were
created:
i) 10C4 X 8C3 X 7!
ii) 10P4 8P3
iii) (¹0)(3) × 5040
iv) 18P7
v) (10 x 9 x 8 x 7) × (8 × 7 × 6)
vi)
11. How many of the above expressions are correct?
a) 5
b) 4
(10x9x8x7) (8x7x6)
X
4!
3!
c) 3
x 7!
d) 2
Transcribed Image Text:Use the following information to answer the next question Leonidas is having a party and is planning to play some great music over the dinner hour. He made a short list of 18 songs that include 10 classical songs and 8 jazz songs. Over the dinner hour it is decided that of the 18 songs, 4 classical songs and 3 jazz songs will be selected, and then arranged into an order to be played. To determine the number of potential music arrangements for the party the following expressions were created: i) 10C4 X 8C3 X 7! ii) 10P4 8P3 iii) (¹0)(3) × 5040 iv) 18P7 v) (10 x 9 x 8 x 7) × (8 × 7 × 6) vi) 11. How many of the above expressions are correct? a) 5 b) 4 (10x9x8x7) (8x7x6) X 4! 3! c) 3 x 7! d) 2
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