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?
1 answer:
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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Answer: 40,823
Step-by-step explanation:
Answer:
2x +3y=1⇒equation 1
3x=2y+8
3x-2y=8⇒equation 2
by elimination method,
2x+3y=1 ×2
3x-2y=8 ×3
4x+6y=2
9x-6y=24
cut 6y and -6y
4x+6y=2
9x-6y=24
---------------
13x+0=26
13x=26
x=26/13
x=2
substitute x=2 in equation 1
2(2)+3y=1
4+3y=1
3y=1-4
3y=-3
y=-3/3
y=-1
therefore, x=2 and y=-1
hope it helps u!
Green: 2/9×100=22. 22%
Answer:
97in³
Step-by-step explanation:
L = 5.5, W = 2, H = 5
2(h × W) + 2(h × L) + 2(W × L)
= 2(5*2) + 2(5*5.5) + 2(2*5.5)
= 2(10) + 2(27.5) + 2(11)
= 20 + 55 + 22
= 97in³
Answer:
we can use sas theorum
Step-by-step explanation:
since its given 2 sides are congruent its an isoceles trinangle
whhich means angles opposite to equal sides are equal .
