Question:

Evaluate (i) 8! (ii) 4! - 3!

Updated On: Oct 21, 2023
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Solution and Explanation

(i) 8! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 = 40320

(ii)  4! = 1 x 2 x 3 x 4 = 24 
     3! = 1 x 2 x 3 = 6 
   ∴4! - 3! = 24 - 6 = 18

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Concepts Used:

Permutations and Combinations

Permutation:

Permutation is the method or the act of arranging members of a set into an order or a sequence. 

  • In the process of rearranging the numbers, subsets of sets are created to determine all possible arrangement sequences of a single data point. 
  • A permutation is used in many events of daily life. It is used for a list of data where the data order matters.

Combination:

Combination is the method of forming subsets by selecting data from a larger set in a way that the selection order does not matter.

  • Combination refers to the combination of about n things taken k at a time without any repetition.
  • The combination is used for a group of data where the order of data does not matter.