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Neporo4naja [7]
2 years ago
5

A positive number is called $n$-primable if it is divisible by $n$ and each of its digits is a one-digit prime number. How many

3-primable positive integers are there that are less than 1000
Mathematics
1 answer:
boyakko [2]2 years ago
4 0
Single digit primes are 2, 3, 5 and 7. Only 3 is 3-primable
Two digit numbers that are 3-primable are
27, 33, 57, 72, 75
The 3 digit numbers that are 3-primable are
222, 333, 555, 777
225, 252, 522
237, 273, 327, 372, 723, 732
255, 525, 552
357, 375, 537, 573, 735, 753

There are 28 3-primable natural numbers less than 1000
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There are 2 variables in this problem. One variable is the class number and other variable is the participation in extracurricular activities. Each variable has further two categories. There are two classes: Class 10 and 11. And students either participate or do not participate in extracurricular activities, which makes 2 categories. 

The best approach to solve this question is to build a table and start entering the given information in it. When the given data has been entered fill the rest on basis of the data you have.

18 students from grade 11 participate in at least one Extracurricular activities. This means the rest students i.e. 22 students from grade 11 do not participate in Extracurricular activities. 

32 students from grade 10 participate in at least one Extracurricular activities. This means total students who participate in at least one Extracurricular activities are 18 + 32 = 50 students.

The rest 50 students do not participate in at least one Extracurricular activities. From these 22 are from class 11. So the rest i.e. 28 are from class 10.

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