Respuesta :
Answer- 120
Solution-
There are digits to be arranged,they are {3,3,2,3,4,5}. And from those ,3 digits are repeated .
so the total number of distinct number that can be formed = [tex]\frac{6!}{3!}[/tex] = [tex]\frac{720}{6}[/tex] = 120 (ans)
Choose the three digits out of the 6 digits to form a three-digit number are given below.
Thus, there are 120 different ways by which a three-digit number can be formed.
What are Permutation and combination?
A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
Given
The sample is (3, 3, 2, 3, 4, 5).
How many different 6-digit numbers can be formed by arranging the digits in 3,3,2,3,4,5?
Choose the three digits out of the 6 digits to form a three-digit number are given by
[tex]\rm ^6C_3 = \dfrac{6!}{3!} = \dfrac{6*5*4*3*2*1}{3*2*1} = 6*5*4 = 120[/tex]
Thus, there are 120 different ways by which a three-digit number can be formed.
More about the permutation and combination link is given below.
https://brainly.com/question/11732255
