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# How many integers are divisible by 3 are there between 10!

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CEO
Joined: 21 Jan 2007
Posts: 2766
Location: New York City
Followers: 9

Kudos [?]: 331 [0], given: 4

How many integers are divisible by 3 are there between 10! [#permalink]  02 Nov 2007, 05:46
How many integers are divisible by 3 are there between 10! and 10! + 20 inclusive?

6
7
8
9
10
Manager
Joined: 01 Nov 2007
Posts: 69
Followers: 1

Kudos [?]: 2 [0], given: 0

Since it is 10! it will be a multiple of 3 (10*8*7*6*5*4*3*2*1)

so since first number is divisible by 3 there will be six more numbers.

Therefore total 7 Nos

Director
Joined: 11 Jun 2007
Posts: 932
Followers: 1

Kudos [?]: 67 [0], given: 0

i concur with 7.. you can't forget to include 10!
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