Permutations and Combinations — Flashcards
Telangana Open School (TOSS) · Class 12 · Mathematics
30 flashcards for Permutations and Combinations (Telangana Open School (TOSS) Class 12 Mathematics) to test yourself on key terms and facts.
Interactive on Super Tutor
Studying Permutations and Combinations? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for flashcards and more.
Free trial, no card needed.
How many 3-digit numbers can be formed using digits 1, 2, 3, 4, 5 without repetition?
Answer
Step 1: Choose digit for hundreds place → 5 options.<br>Step 2: Choose digit for tens place → 4 remaining options.<br>Step 3: Choose digit for units place → 3 remaining options.<br>Using Fundamental P…
In how many ways can 6 books be arranged on a shelf?
Answer
This is a permutation of 6 distinct objects.<br>Formula: n! = 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.<br>Answer: 720 ways.
Evaluate 5P3.
Answer
Formula: nPr = n! / (n−r)!<br>Here, n = 5, r = 3.<br>5P3 = 5! / (5−3)! = (5×4×3×2×1) / (2×1) = 120 / 2 = 60.<br>Answer: 60.
There are 4 trains from A to B and 3 from B to C. In how many ways can one go from A to C?
Answer
Using Fundamental Principle of Counting:<br>First event (A to B): 4 ways.<br>Second event (B to C): 3 ways.<br>Total ways = 4 × 3 = 12.<br>Answer: 12 ways.
How many 4-letter palindromes can be formed using English alphabets?
Answer
A palindrome reads same forwards and backwards.<br>For 4 letters: First 2 letters determine the last 2.<br>1st letter: 26 choices.<br>2nd letter: 26 choices.<br>3rd = 2nd, 4th = 1st → no choice.<br>To…
In how many ways can 3 prizes be distributed among 10 students if no student gets more than one prize?
Answer
This is arranging 3 out of 10 students.<br>Order matters → permutation.<br>10P3 = 10 × 9 × 8 = 720.<br>Answer: 720 ways.
How many 4-digit numbers can be formed using digits 1, 2, 3, 4, 5, 6 if digits can repeat?
Answer
Each digit place (thousands, hundreds, tens, units) can be filled independently.<br>Thousands: 6 choices (1–6).<br>Hundreds: 6 choices.<br>Tens: 6 choices.<br>Units: 6 choices.<br>Total = 6 × 6 × 6 × …
Evaluate 7! / 5!.
Answer
7! = 7×6×5!, so 7! / 5! = 7×6 = 42.<br>Answer: 42.
+22 more flashcards
Practise AllFrequently Asked Questions
What are the important topics in Permutations and Combinations for Telangana Open School (TOSS) Class 12 Mathematics?
How many flashcards are available for Permutations and Combinations?
How should I revise Permutations and Combinations for the Telangana Open School (TOSS) Class 12 board exam?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Permutations and Combinations
Practice Quiz
Test yourself with a quick quiz
Important Questions
Exam-style questions with answers
Revision Notes
Key points for last-minute revision
Formula Sheet
The chapter's formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Study Plan
Step-by-step plan for this chapter
Syllabus
What topics to cover
For serious students
Get the full Permutations and Combinations chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Telangana Open School (TOSS) Class 12 Mathematics. Free to start, no card needed.