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# How many natural numbers are there that are smaller than 104 and whose

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Senior Manager
Joined: 12 Jan 2019
Posts: 263
How many natural numbers are there that are smaller than 104 and whose  [#permalink]

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Updated on: 12 Jan 2019, 23:27
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0% (00:00) correct 100% (03:36) wrong based on 1 sessions

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How many natural numbers are there that are smaller than $$10^4$$ and whose decimal notation
consists only of the digits 0, 1, 2, 3 and 5, which are not repeated in any of these numbers?
(a) 32
(b) 164
(c) 31
(d) 33
(e) 212

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Originally posted by UdayPratapSingh99 on 12 Jan 2019, 23:22.
Last edited by UdayPratapSingh99 on 12 Jan 2019, 23:27, edited 1 time in total.
Senior Manager
Joined: 12 Jan 2019
Posts: 263
Re: How many natural numbers are there that are smaller than 104 and whose  [#permalink]

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12 Jan 2019, 23:23
We have to count natural numbers which have a maximum of 4 digits. The required answer will be
given by:
Number of single digit numbers + Number of two digit numbers + Number of three digit numbers
+ Number of four digit numbers.

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Re: How many natural numbers are there that are smaller than 104 and whose   [#permalink] 12 Jan 2019, 23:23
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