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MATHEMATICS "PERMUTATION AND COMBINATION" IMPORTANT QnA FOR TEST $9.19   Add to cart
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MATHEMATICS "PERMUTATION AND COMBINATION" IMPORTANT QnA FOR TEST
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  • MATHEMATICS
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  • MATHEMATICS

Important question answers of Permutation and Combination, an important chapter of mathematics. Permutations and combinations are fundamental concepts in combinatorics, a branch of mathematics that deals with counting and arranging objects. Permutations involve arranging a set of distinct items in...

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Document information

  • August 19, 2023
  • 4
  • 2023/2024
  • Exam (elaborations)
  • Questions & answers

Subjects

  • mathematics
  • permutations
  • combinations
  • possibilities
  • number of ways
  • arrangments
  • exam paper
  • solved permutation questions

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  • MATHEMATICS
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PERMUTATION AND COMBINATION
Q:1 How many different ways can the letter "A" , "B" and "C" be
arranged?

SOL:

The number of different ways that the letters "A," "B," and "C" can be arranged is
given by the concept of permutations. Since order matters when arranging these
letters, we'll use the formula for permutations of distinct items:

P(n)=n!

Where n is the number of distinct items and n! represents the factorial of n,
which is the product of all positive integers from 1 to n.

For your case, there are three distinct letters ("A," "B" and "C"), so:

P(3)=3!=3×2×1=6

There are 6 different ways to arrange the letters "A," "B," and "C."

Here are all the possible arrangements:

ABC

ACB

BAC

BCA

CAB

CBA

Q:2 In how many ways can 4 students be arranged in a line for a
photograph?

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