if we have a deck of cards and deal out all of the cards: if two people are playing, one card will be left over if three people are playing, two cards will be left over. if four people are playing, three cards will be left over if five people are playing, four cards will be left over if six people are playing, five cards will be left over if seven people are playing, no cards will be left over.  how many cards are in the deck?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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if we have a deck of cards and deal out all of the cards:

if two people are playing, one card will be left over

if three people are playing, two cards will be left over.

if four people are playing, three cards will be left over

if five people are playing, four cards will be left over

if six people are playing, five cards will be left over

if seven people are playing, no cards will be left over. 

how many cards are in the deck?

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