Answer:
120 is the right answer.
Step-by-step explanation:
(5!) ÷ 2! × 2! = 120
The trick is to realize that a number can not start with a zero!
Now, there are
10
5
ways in which the digits 0-9 can be chosen for the five places of a five digit number. Out of these,
4
start with zero (once we start with 0, there are only 4 slots to fill, where we have 10 choices each).
So, the number of possible five digit numbers is
−
=
9
×
90000
These are the numbers 10000 to 99999. We could, of course, just have counted them to get
99999
10000
+
1
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
120 is the right answer.
Step-by-step explanation:
(5!) ÷ 2! × 2! = 120
Answer:
The trick is to realize that a number can not start with a zero!
Now, there are
10
5
ways in which the digits 0-9 can be chosen for the five places of a five digit number. Out of these,
10
4
start with zero (once we start with 0, there are only 4 slots to fill, where we have 10 choices each).
So, the number of possible five digit numbers is
10
5
−
10
4
=
9
×
10
4
=
90000
These are the numbers 10000 to 99999. We could, of course, just have counted them to get
99999
−
10000
+
1
=
90000