Counting with restrictions: check 1
Difficulty: ★★☆Maths4U Original · Short practice
There are n=9 distinct labels and r=2 selected positions or places, as specified in each part. No label can be repeated.
How many ordered selections of r distinct labels are possible?
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Counting with restrictions: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
There are n=10 distinct labels and r=3 selected positions or places, as specified in each part. No label can be repeated.
How many ordered selections of r distinct labels are possible?
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Counting with restrictions: check 2
Difficulty: ★★☆Maths4U Original · Short practice
There are n=10 distinct labels and r=3 selected positions or places, as specified in each part. No label can be repeated.
How many unordered r-label subsets are possible?
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Counting with restrictions: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
There are n=6 distinct labels and r=4 selected positions or places, as specified in each part. No label can be repeated.
How many unordered r-label subsets are possible?
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Counting with restrictions: check 3
Difficulty: ★★☆Maths4U Original · Short practice
There are n=6 distinct labels and r=4 selected positions or places, as specified in each part. No label can be repeated.
How many complete orders keep two specified labels adjacent?
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Counting with restrictions: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
There are n=7 distinct labels and r=2 selected positions or places, as specified in each part. No label can be repeated.
How many complete orders keep two specified labels adjacent?
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Counting with restrictions: check 4
Difficulty: ★★☆Maths4U Original · Short practice
There are n=7 distinct labels and r=2 selected positions or places, as specified in each part. No label can be repeated.
How many r-label subsets contain one specified label?
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Counting with restrictions: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
There are n=8 distinct labels and r=3 selected positions or places, as specified in each part. No label can be repeated.
How many r-label subsets contain one specified label?
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.