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How many natural number less than 30000 can be made from the digits 0,1,2,3,4,5,6.

How many natural number less than 30000 can be made from the digits 0,1,2,3,4,5,6.

Grade:12th pass

3 Answers

Arun
25763 Points
2 years ago
Dear student
 
only 1 and 2 can be used in first olace from starting.
hence 2 * 6* 5* 4*3*2 * 1 = 1440
 
Hope it helps
Aditya Gupta
2075 Points
one year ago
note that you have NOT mentioned whether repetition of digits is allowed or not. hence the ques is incomplete. i am solving assuming repetition is allowed.
we have 5 places in 30000. 
now, for first place, we can fill it in 3 ways using either of 0, 1, 2 since it should be smaller than 30000. the remaining 4 places can be filled with any digits with no restriction.
so, number of ways to fill the places= 3*7*7*7*7= 3*7^4
however, this also includes 00000, which is not a natural number.
hence total no of ways assuming repetition is allowed= 3*7^4 – 1
kindly approve and if u have any doubts regarding how to solve when repetition is not allowed, do let me know.
 
Sai Soumya
99 Points
one year ago
The answer to your question will be 1440
Dont put zero in the first place , and as nothing is mentioned in the question , repetition is allowed

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