Permutations – Fundamental Counting Principle, Factorial, nPr
Maths Higher · Grade 11 · Week 15 · 25 questions
This Grade 11 mathematics chapter on Permutations introduces Fundamental Counting Principle, Factorial, and nPr. These methods reappear throughout Grade 12 and in board + competitive exam papers.
What you'll practise
- State and apply Fundamental Counting Principle
- Evaluate Factorial
- Evaluate nPr
- Apply permutations concepts to NCERT exercise and exemplar problems
All 25 questions in this Permutations – Fundamental Counting Principle, Factorial, nPr quiz
Grade 11 Maths Higher — Permutations – Fundamental Counting Principle, Factorial, nPr: 25 practice questions with instant scoring and explanations.
- The Fundamental Counting Principle states that if one task can be done in m ways and another in n ways, both can be done in:
- 0! (zero factorial) equals:
- Using the standard identity, the value of 5! is:
- nPr is defined as:
- Using the standard identity, the value of 5P3 is:
- Using the standard identity, the value of 8P2 is:
- The number of permutations of 4 objects taken 4 at a time is:
- Using the standard identity, the value of nPn is:
- Using the standard identity, the value of nP1 is:
- 10P1 + 10P2 + 10P3 is equal to:
- How many 2-digit numbers can be formed using digits 1, 2, 3, 4, 5 without repetition?
- A committee of 3 people is to be selected and arranged in a line from 7 people. The number of ways is:
- Using the standard identity, the value of 6P4 is:
- The number of 3-letter words that can be formed from letters A, B, C, D, E (with repetition) is:
- How many different 4-digit numbers can be formed using 2, 3, 5, 7, 9 without repetition?
- Using the standard identity, the value of nP0 is:
- In how many ways can 5 books be arranged on a shelf?
- Using the standard identity, the value of 9P2 is:
- How many ways can 6 people sit around a table? (considering circular arrangements as different)
- The relation between nPr and nCr is:
- Using the standard identity, the value of 7P3 is:
- How many 3-digit even numbers can be formed using 1, 2, 3, 4, 5 without repetition?
- If nP2 = 30, then n =
- The number of ways to arrange the letters of WORD is:
- How many permutations of the letters A, B, C, D start with A?
Question 1 of 250 correct so far