Question

For a segment of a radio? show, a disc jockey can play 88 records. if there are 1313 records to select? from, in how many ways can the program for this segment be? arranged?

Answer 1

There are total 1313 records from which the disc jockey can select. He selects 88 record. How many different ways there are to select 88 from 1313 we can calculate with the help of permutations.Permutation is an ordered combinations, and it this case it is a permutation without repetition (each record can not be repeated). The equation for calculating how many different arrangements there are is: n!/(n-r)!, where n is the number of records to choose from and the DJ chose r of them. In our case, n=1313, r=88
1313!/(1313-88)!=1313!/1225!=1313*1312*.....*1225!/1225!=1313*1312*1311*...1226