If I create all possible 5 digit numbers by using the digits 1, 2, 3, 6 and 5 (each digit is used exactly once), and arrange them in ascending order, which number would be the 50th number in the list?
Answers
Answered by
8
Answer:
Step-by-step explanation:
12 is the number would be the 50th number in the list
Answered by
1
Given:
Five digits 1, 2, 3, 5, and 6 are given and 5 digit numbers are to form using each digit at once and arrange in ascending order.
To Find
50th number in the list
Solution:
As we have to arrange the numbers in ascending order then lowest number will start with 1 at thousand places,
Let
1 at ten thousand places,
∴ Total numbers formed = 4! =24
now, with 2 at the ten-thousand place,
∴ Total numbers = 4! = 24
so,
the 49th number will start with 3 at ten thousand place
49th number will be
⇒ 31256
The 50th number will be when arranged in ascending order:
⇒ 31265
Hence, the 50th number in the list will be 31265.
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