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Home » We require \( n_k \leq 50 \): - Imagemakers

We require \( n_k \leq 50 \): - Imagemakers

📅 April 29, 2026 👤 scraface

Apr 29, 2026

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\binom{7}{3} = 35,\quad \binom{9}{2} = 36,\quad \binom{16}{5} = 4368
\frac{35 \cdot 36}{4368} = \frac{1260}{4368}
\frac{1260}{4368} = \frac{105}{364}
Thus, the probability is $\boxed{\frac{105}{364}}$.
Question: How many 8-digit positive integers composed only of the digi...
Solution: First, compute the total number of 8-digit numbers using onl...
2^8 = 256
Now count the number of such numbers that do **not** contain two conse...
We define a recurrence:
If the first digit is 4, the remaining $n-1$ digits form a valid seque...

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