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ankoles [38]
2 years ago
10

A stack of 10 different cards are shuffled and spread out face down. If 3 cards are turned face up, how many different 3-card co

mbinations are possible?
Mathematics
1 answer:
Advocard [28]2 years ago
5 0

Answer:

<h3>120 different ways</h3>

Step-by-step explanation:

Using the combination formula as shown;

nCr = n!/(n-r)!r!

If a stack of 10 different cards are shuffled and spread out face down. If 3 cards are turned face up, the number of different ways 3cards combinations are possible is expressed as;

10C3 = 10!/(10-3)!3!

10C3 = 10!/(7)!3!

10C3 = 10*9*8*7!/7!*3*2

10C3 = 10*9*8/3*2

10C3 = 720/6

10C3 = 120 different ways

Hence there are 120 different card combinations

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