1) How many positive integers with 6 or less digits are odd or divisible by 5 and do not contain any repeated digits? Leading O's are also not allowed. 19654

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1) How many positive integers with 6 or less digits are odd or divisible by 5 and do not contain any repeated
digits? Leading O's are also not allowed.
19654
2) A barn has 12 black cats and 12 white cats. A farmer selects cats at random without looking at them.
a) How many cats must he select to be sure of having 4 cats of the same color? 13
b) How many cats must he select to be sure of having at least 5 black cats? 12
3).
4) How many 5-digit numbers do NOT end in "97"? (For this question, a 5-digit number cannot begin with 0).
89,900
5) Imagine that there are 700 people that take a train. What is the largest integer
k such that you can guarantee at least & people on the train share a birthday month? (There are 12 months in
a year). 4
Transcribed Image Text:1) How many positive integers with 6 or less digits are odd or divisible by 5 and do not contain any repeated digits? Leading O's are also not allowed. 19654 2) A barn has 12 black cats and 12 white cats. A farmer selects cats at random without looking at them. a) How many cats must he select to be sure of having 4 cats of the same color? 13 b) How many cats must he select to be sure of having at least 5 black cats? 12 3). 4) How many 5-digit numbers do NOT end in "97"? (For this question, a 5-digit number cannot begin with 0). 89,900 5) Imagine that there are 700 people that take a train. What is the largest integer k such that you can guarantee at least & people on the train share a birthday month? (There are 12 months in a year). 4
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