Question:

How many numbers of 6 digits can be formed from the digits of the number 112233 ?

Updated On: Jan 11, 2024
  • 30
  • 60
  • 90
  • 120
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is C

Solution and Explanation

Here the digits repeat as: 1 = 2 times, 2 = 2 times and 3 = 2 times Thus the total no. of the permutation $= \frac{( 2 + 2 + 2)! }{2! 2! 2!} = \frac{6 \times5 \times 4 \times 3 \times 2 \times 1}{2 \times 2 \times 2} = 90 $
Was this answer helpful?
1
0

Top Questions on permutations and combinations

View More Questions

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.