Permutations and Combinations
Telangana Open School (TOSS) · Class 12 · Mathematics
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Quick Quiz: Permutations and Combinations
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What is the value of 4!?
How many ways can 2 books be arranged on a shelf from 5 different books?
What is the value of \( ^5C_2 \)?
How many 2-letter words can be formed from the letters A, B, C without repetition?
Sample Questions
What is the value of \( ^nC_0 \)?
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1
There is exactly one way to choose 0 objects from n objects, which is to choose nothing.
How many ways can 3 students be selected from 6 students?
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20
This is \( ^6C_3 = rac{6!}{3!3!} = 20 \).
What is the value of \( ^4P_4 \)?
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24
\( ^4P_4 = 4! = 24 \).
How many 4-digit numbers can be formed using digits 1 to 4 without repetition?
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24
All 4 digits used: \( 4! = 24 \).
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