How many ways can five books be arranged in a shelve

Assignment Help Mathematics

Reference no: EM132606787

QUESTION ONE

Given that; A={1,2,....,9}
B={2,4,6,8}
C={3,4,5,6,7}
Find (a) AUB
(b) A∩B
(c) B/C
(d) AUBUC
(e)AUB∩C
(f) A∩BUC

QUESTION TWO

You are given with a universal set;
= {1,2,....,9}
A= {1,2,3,4}
B= {2,4,6,8}
C= {3,4,5,6,7}
Find;
i) A^C
ii) BUC
iii)A/C
iv) c'
v) A/C(C')

QUESTION THREE

How many ways can five books be arranged in a shelve.
How many ways can two letters be arranged from the word algebra.
How many three digit even numbers can be made from {2,3,4}
A Committee of four men and three women is to be chosen from nine men and seven women. In how many ways can this be done?

QUESTION FOUR
The fourth term of geometric progression is 192. If the first term is two, find the;
Common difference.
Eleventh term.
The sum off the first ten terms of a AP is 400. If the sum of the first six terms of the same series is 120. Find the;
common difference
First term.
Sum of 15 terms.

QUESTION FIVE

Given f(x)=4x and g(x)=x²
Find;
fg(-4)
g(x2)
fg(2)
fg(1)

Reference no: EM132606787

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