The Salamanananca Bull Ring

Señor Antonio Tomás Bustamante del Torre Quemada, the new manager of the bull ring of the city of Salamanananca, felt an inspiration to renovate the bull ring with new colors.

One sixth of the perimeter on the opposite side of the gate where the bulls entered the bull ring was to be painted blood red.

One twenty secondth of the perimeter around the gate where the bulls entered the bull ring was to be painted hell black.

The remaining perimeter, amounting to 52 meters, was to be painted a bright, glaring yellow.

Señor Antonio Tomás Bustamante del Torre Quemada wanted to excite the bulls with bright colors, thus ensuring action-filled bullfights that would impress the public, and the new Cardinal Sixtus.

A special barbeque would be held for dignitaries after bull fights.

What is the diameter of the bull ring of Salamanananca? And what is the cross sum of the number of ways the name of the city can be permuted?

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