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avanturin [10]
3 years ago
9

If a coin is flipped 75 times, in how many ways could there be exactly two tails?

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
8 0
 <span>I think the answer is 2774 but dont quote me on it
</span>
Dimas [21]3 years ago
4 0

Answer:

2775 ways

Step-by-step explanation:

We have been given the case to choose exactly two tails when flipped 75 times  means  ^{75}C_2

Since, ^nC_r is equal to \frac{n!}{r!\cdot(n-r)!}  

Here n =75, r=2 substituting the values we will get

\frac{75!}{2!(75-2)!}

n!=n\cdot (n-1)\cdot (n-2).....1

After simplification we will get  \frac{75\cdot 74\cdot 73!}{2!\cdot73!}

Cancel out the common term that is 73! we will get

after more simplification we will get \frac{75\cdot 74\cdot}{2!}

Finally, we will get \frac{75\cdot 74\cdot}{2}=75\cdot37=2775

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