Question#1 How many positive integers between 100 and 888 inclusive, a) are divisible by 7? b) are odd? c)...

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Question#1
How many positive integers between 100 and 888 inclusive,

a) are divisible by 7?

b) are odd?

c) have distinct digits?

d) are not divisible by 6?

e) are divisible by either 4 or 7?

f) are not divisible by either 4 or 7?

g) are divisible by 4 but not by 7?

h) are divisible by 4 and 7?

Question#1
How many positive integers between 100 and 888 inclusive,

a) are divisible by 7?

b) are odd?

c) have distinct digits?

d) are not divisible by 6?

e) are divisible by either 4 or 7?

f) are not divisible by either 4 or 7?

g) are divisible by 4 but not by 7?

h) are divisible by 4 and 7?

please type the answers if possible! I've been havingtrouble reading the handwriting lately!

Answer & Explanation Solved by verified expert
4.2 Ratings (681 Votes)
Here is your answer There are 8881001 integers including 100 and 888 So between 100 and 888 there are 8881001787 integers a Are divisible by 7 First integer grater than 100 and divisible by 7 is 105715 And last integer divisible by 7 and less than 888 is 8827126 Therefore number of integers divisible by 7 and lies between 100 and 888 is 126151112 b are odd first odd integer grater than 100 is 101 and last odd integer less than 888 is 887 Now 101 103 105 107 885 887 this is a AP series Whose first    See Answer
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