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# How many 10-digit numbers can be formed using only the digits 2 and 5?

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
How many 10-digit numbers can be formed using only the digits 2 and 5?  [#permalink]

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03 Jan 2019, 09:14
00:00

Difficulty:

15% (low)

Question Stats:

83% (00:44) correct 17% (01:25) wrong based on 38 sessions

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How many 10-digit numbers can be formed using only the digits 2 and 5?

(A) 2^10
(B) (22)(5!)
(C) (5!)(5!)
(D) 10!/2
(E) 10!

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Math Expert
Joined: 02 Aug 2009
Posts: 7989
Re: How many 10-digit numbers can be formed using only the digits 2 and 5?  [#permalink]

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03 Jan 2019, 11:17
Bunuel wrote:
How many 10-digit numbers can be formed using only the digits 2 and 5?

(A) 2^10
(B) (22)(5!)
(C) (5!)(5!)
(D) 10!/2
(E) 10!

There are 10 places to fill and each place can be taken by any of the two digits - 2 or 5.
Thus 2*2*..=2^10

A
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Re: How many 10-digit numbers can be formed using only the digits 2 and 5?   [#permalink] 03 Jan 2019, 11:17
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