Grandpa is twice as strong as Grandma, Grandma is three times stronger than Granddaughter, Granddaughter is four times stronger than Bug, Bug is five times stronger than Cat, and Cat is six times stronger than Mouse. Grandpa, Grandma, Granddaughter, Bug, and Cat together with Mouse can pull out the Turnip, but without Mouse - they cannot. How many Mice need to be called to pull out the Turnip on their own?
How many Mice does a Cat replace? And a Granddaughter?

## Solution

A Cat replaces 6 Mice. A Bug replaces $5 \bullet 6$ Mice. A Granddaughter replaces 4$\cdot$5$\cdot$6 Mice. A Grandma replaces $3 \cdot 4 \cdot 5 \cdot 6$ Mice. A Grandpa replaces $2 \cdot 3 \cdot 4 \cdot 5 \cdot 6$ Mice. In total, it requires:

$(2 \cdot 3 \cdot 4 \cdot 5 \cdot 6)+(3 \cdot 4 \cdot 5 \cdot 6)+(4 \cdot 5 \cdot 6)+(5 \cdot 6)+6+1=1237$ Mice.

## Answer

1237 Mice.