Sure, let's solve these problems step by step.
Problem 1: How many diyas did the potter make in a week?
1. Total diyas made in the month of September: 4080 diyas.
2. Number of days in September: 30 days.
To find out how many diyas the potter made each day:
[tex]\[ \text{Diyas per day} = \frac{\text{Total diyas}}{\text{Number of days}} = \frac{4080}{30} = 136 \text{ diyas per day} \][/tex]
Next, to find out how many diyas he made in a week (7 days):
[tex]\[ \text{Diyas per week} = \text{Diyas per day} \times 7 = 136 \times 7 = 952 \text{ diyas per week} \][/tex]
So, the potter made 952 diyas in a week.
Problem 2: How many 5-digit numbers are there in all?
1. The smallest 5-digit number: 10000.
2. The largest 5-digit number: 99999.
To find out the total number of 5-digit numbers:
[tex]\[ \text{Total 5-digit numbers} = (\text{Largest 5-digit number} - \text{Smallest 5-digit number}) + 1 = (99999 - 10000) + 1 = 90000 \][/tex]
So, there are 90,000 five-digit numbers in total.
To recap:
- The potter made 952 diyas in a week.
- There are 90,000 five-digit numbers in total.
