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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
25758 Points
3 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
2081 Points
3 years 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
2 years 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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