SOLUTION: How many 6 digit numbers are there with 3 different digits each of them repeated, if the only digits permitted are members of the set {1,2,3,5,7,8,9,}.

SOLUTION: How many 6 digit numbers are there with 3 different digits each of them repeated, if the only digits permitted are members of the set {1,2,3,5,7,8,9,}.

Algebra.Com

Question 1021882: How many 6 digit numbers are there with 3 different digits each of them repeated, if the only digits permitted are members of the set {1,2,3,5,7,8,9,}.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Pick the 3 digits first. There are 7C3 = 7*6*5/3! = 35 ways to do so.

Given the 3 digits, there are 6!/(2!*2!*2!) = 90 ways to order them to produce different 6-digit numbers.

# of ways = 35*90 = 3150
RELATED QUESTIONS
How many numbers are there each of 3 different digits if the first digit cannot be... (answered by Edwin McCravy)

how many 3 digit numbers can be made using the digits 1,2,3,4,6,7 if no digits are... (answered by ewatrrr)

1.In how many different ways can 6 classes be scheduled during a 6-period day? 2.In how... (answered by stanbon)

The digits 0,1,2,3,4 are to be used in a four digit ID card. How many different cards are (answered by ikleyn)

PLS HELP... ASAP... 1. Write all the three digit numbers using the digits 4,6 and 8... (answered by edjones)

1. How many different 4-digit numbers can be formed from the digits 2, 3, 4, 5, 6, 7, and (answered by Alan3354)

How many different five-digit whole numbers may be formed from the digits 1,2,3,4 and 5... (answered by ewatrrr)

How many five-digit numbers can be formed using the digits 0 and 6? Repeated digits are... (answered by josmiceli)

Five different digits 7 3 6 2 5 are given. Out of these digits, 4 digits numbers are... (answered by Edwin McCravy)