Question:

If $\,^{16}C_{r} =\, ^{16}C_{r+1}$, then the value of $\, ^{r}P_{r-3}$ is

Updated On: Feb 2, 2024
  • $31$
  • $120$
  • $210$
  • $840$
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The Correct Option is D

Solution and Explanation

$\,^{16}C_{r} = ^{16}C_{r+1} $
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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.