With a short time remaining in the day, a delivery driver has time to make deliveries at 66 locations among the 99 locations remaining. how many different routes are possible? there are possible different routes. (simplify your answer.)

197,443,926,105,102,399,225,573,693

Step-by-step explanation:

Here we use combination which is the selection of all or part of a set of objects or items without considering the order of selection.

Mathematically, The number of 'r' combinations from 'n' elements is given as :

nCr = n!÷((n-r)!r!)

From the question above :

n=99 r=66

99C66 = 99!÷((99-66)!66!)

99!÷(33!66!) = 197,443,926,105,102,399,225,573,693

There are 197,443,926,105,102,399,225,573,693 different possible routes.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value