SOLUTION: help me solve this problem please. I don't know how to get the answers.
a) How many different 7-digit numbers can be formed from the digits 0,1,2,2,3,3,3 assuming that a number
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Question 371024: help me solve this problem please. I don't know how to get the answers.
a) How many different 7-digit numbers can be formed from the digits 0,1,2,2,3,3,3 assuming that a number cannot start with 0?
ans : 360
b) how many of these numbers will end in 0?
ans : 60
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!
2 is 2 times and 3 is 3 times repeated in given digits.
a) no. of ways to form 7 digit no. = 7! / ( 2! * 3!) = 420
no. of ways to form 7 digit no. having 0 at starting place = 6!/(2! * 3!) = 60
( here we have to arrange remaining 6 digits only because 0 at fixed position )
so, total no. that not start with 0 = 420-60 = 360
b)similarly to last solution
no. of ways to form 7 digit no. having 0 at last place = 6!/(2! * 3!)
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