Math Problem Statement
from the figure 1 2 3 4 5 6 7, how many 4 digit numbers can be formed with no figure being used moer than once in each number? of these 4-digit numbers formed, how many are divisible by 3
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Combinatorics
Divisibility Rules
Modular Arithmetic
Formulas
n! (for counting permutations)
Divisibility by 3 rule: A number is divisible by 3 if the sum of its digits is divisible by 3
Theorems
Pigeonhole Principle
Divisibility Rule for 3
Suitable Grade Level
Grades 7-9
Related Recommendation
Find the Number of Four-Digit Numbers Formed with Digits 1 to 7 Without Repetition
Calculate the Number of Thousands Numbers from 2, 3, 4, 5, 6, 7, and 8
Counting 5-Digit Numbers Divisible by 4 from Set {0, 2, 4, 5, 7, 9}
How to Calculate Four-Digit Numbers Divisible by 6 Using 0, 2, 3, 4, 6
Calculate 3-Digit Numbers Less Than 800 Without Repeated Digits