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Coefficient

If 7r divid...

Question

If $7^{r}$ divides $55!$ , then the maximum value of $r =$

6

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8

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Solution

The correct option is A $8$
In $55!$ , the numbers that will have $7$ are : $7, 14, 21, 28, 35, 42, 49$
Each has one $7$ , except $49$ which has $2$ .
Ans $= 1 + 1 + 1 + 1 + 1 + 1 + 2 = 8$

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| r - 6 | = 11

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∣ ∣ \frac{q}{r} ∣ ∣

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