13 There are 52 different cards in a pack (as shown in the picture above): In how many ways can you be given 10 cards where order is not important? 52, ()-15820024220 10 10 In how many ways can you be given 2 kings and 3 number 8's when the order of the cards is not important? (²)x()=6 x()=6x4-24 x4-24 In how many ways can you be given 4 diamonds or 4 hearts? 13 )+()-715+715=1430

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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please acn you simplify and explain how they calculated the brackets with the numbers , I don't know what the brackets means . 

There are 52 different cards in a pack (as shown in the picture above):
In how many ways can you be given 10 cards where order is not important?
52
()=15820024220
10
52₁
10
=
In how many ways can you be given 2 kings and 3 number 8's when the order of the cards is not important?
QxQ-
)x()=6x4=24
×4=24
In how many ways can you be given 4 diamonds or 4 hearts?
13
13
)+ ( )=715+715=1430
Transcribed Image Text:There are 52 different cards in a pack (as shown in the picture above): In how many ways can you be given 10 cards where order is not important? 52 ()=15820024220 10 52₁ 10 = In how many ways can you be given 2 kings and 3 number 8's when the order of the cards is not important? QxQ- )x()=6x4=24 ×4=24 In how many ways can you be given 4 diamonds or 4 hearts? 13 13 )+ ( )=715+715=1430
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