There are 720 different 5-digit numbers that can be formed using the digits 1, 2, 3, 5, 7, and 8, if each digit may be used only once in any number. How many of these 5-digit numbers are even and greater than 30000?
PERMUTATIONS AND COMBINATIONS

Quiz
•
Mathematics
•
9th - 12th Grade
•
Hard
Adeoluwa Oluyinka
Used 7+ times
FREE Resource
30 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
45 sec • 2 pts
168
2.
MULTIPLE CHOICE QUESTION
45 sec • 2 pts
There are 720 different 5-digit numbers that can be formed using the digits 1, 2, 3, 5, 7, and 8, if each digit may be used only once in any number. How many of the 5-digit numbers are not divisible by 5?
3.
MULTIPLE CHOICE QUESTION
45 sec • 2 pts
The number of combinations of n items taken 3 at a time is 6 times the number of combinations of n items taken 2 at a time. Find the value of the constant n.
n = 20
n = 18
4.
MULTIPLE CHOICE QUESTION
45 sec • 2 pts
Find how many different 5-digit numbers can be formed using the digits 1, 2, 3, 5, 7 and 8, if each digit may be used only once in any number.
5.
MULTIPLE CHOICE QUESTION
45 sec • 2 pts
In an examination, candidates must select 2 questions from the 5 questions in section A and select 4 questions from the 8 questions in section B. Find the number of ways in which this can be done.
700 ways
6.
MULTIPLE CHOICE QUESTION
45 sec • 2 pts
The digits of the number 6378129 are to be arranged so that the resulting 7-digit number is even. Find the number of ways in which this can be done.
2160
7.
MULTIPLE CHOICE QUESTION
45 sec • 2 pts
Jess wants to arrange 9 different books on a shelf. There are 4 mathematics books, 3 physics books and 2 chemistry books. Find the number of different possible arrangements of the books if all the mathematics books are kept together and all the physics books are kept together.
4!*3!*4!
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