Jessica is packing her bags for her vacation. She has 555 unique shirts, but only 333 fit in her bag. How many different groups of 333 shirts can she take?

Total possible way = 5.711721253E+160

Step-by-step explanation:

Given data

she has total 555 unique shirt

Capacity of bag is 333 shirt.

Find out the how many different groups of 333 shirts can she take

Here we can use combination formula

Combination formula=

Where n is total number of unique shirt

n = 555

and r is possible number of shirts who fit in bag

r = 333

Here we put in combination formula

Combination formual = 5.711721253E+160

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b