what is the sum of 4 digits that can be formed using digit 1 : PS Archive
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# what is the sum of 4 digits that can be formed using digit 1

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what is the sum of 4 digits that can be formed using digit 1 [#permalink]

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04 Sep 2005, 08:19
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what is the sum of 4 digits that can be formed using digit 1234 ( repetition of digits allowed ) ?

Plz explains yours works ... thank
Senior Manager
Joined: 04 May 2005
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Re: PS permutations and combination [#permalink]

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04 Sep 2005, 12:57
mandy wrote:
:) Hello everyone !

Again from this gmat software of permutation and combination

what is the sum of 4 digits that can be formed using digit 1234 ( repetition of digits allowed ) ?

Plz explains yours works ... thank

1+2+3+4 = 10

with repetition allowed, the sum will be: 4x10x(10^3+10^2+10+1)
Senior Manager
Joined: 30 May 2005
Posts: 276
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Re: PS permutations and combination [#permalink]

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04 Sep 2005, 13:41
qpoo wrote:
mandy wrote:
:) Hello everyone !

Again from this gmat software of permutation and combination

what is the sum of 4 digits that can be formed using digit 1234 ( repetition of digits allowed ) ?

Plz explains yours works ... thank

1+2+3+4 = 10

with repetition allowed, the sum will be: 4x10x(10^3+10^2+10+1)

no Qpoo This is not it
The OA is 711O4O
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04 Sep 2005, 18:52
ok, let me try again:

for the left most digit, if it takes on the value of 4, it will be 4x10^3,
but this can appear 4^3 times, since there are 3 other digits undecided.
So we get (4^3)x4x10^3, similiarly for 1,2,3
the total will be (4^3)x(4+3+2+1)x10^3

repeat the same for the other three digits, we get:
1111x640 = 711040
04 Sep 2005, 18:52
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