Formula to calculate combinations is given by -
nCr=[n !]/[r ! * (n-r) !]
where,
nCr = number of combinations
n = total number of objects in the set
r = number of choosing objects from the set
Now, according to given -
n = 10 people
r = 5 callers
Hence,
Number of possible combinations = nCr
= 10C5
= (10!)/[5! * (10-5)!]
= 252
Thus, 252 different people could have made successful calls to the radio station.
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