Six different books are to be places on a shelf, what is the number of arrangements if i) two books must be together. ii) two books must be separated from each other.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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QUESTION 2
Six different books are to be places on a shelf, what is the number of arrangements if
i)
two books must be together.
ii)
two books must be separated from each other.
a)
b)
How many different arrangement of the letter in the words PNEUMOCOCCAL can be
formed if
d)
i)
ii)
c)
A photography class has 15 people that consist of 8 male and 7 female. How many
ways can 9 people be selected if
i)
ii)
there is no restriction?
all vowels must be together?
i)
ii)
there is no restriction.
at least 5 female must be chosen.
Given an expression (3x +2y³). Use Binomial Theorem to find
the 7th term
the coefficient of the term x5y¹².
Transcribed Image Text:QUESTION 2 Six different books are to be places on a shelf, what is the number of arrangements if i) two books must be together. ii) two books must be separated from each other. a) b) How many different arrangement of the letter in the words PNEUMOCOCCAL can be formed if d) i) ii) c) A photography class has 15 people that consist of 8 male and 7 female. How many ways can 9 people be selected if i) ii) there is no restriction? all vowels must be together? i) ii) there is no restriction. at least 5 female must be chosen. Given an expression (3x +2y³). Use Binomial Theorem to find the 7th term the coefficient of the term x5y¹².
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