Answer:
116,280 assignments
Step-by-step explanation:
We would solve this question using the combination formula
This is given as:
C(n, r) = nCr = n!/n! (n - r)!
Where
n = 21
r = 7
Hence:
21C7 = 21!/7! × (21 - 7)!
= 21!/7! × 14!
= 116,280 assignments
Therefore, the number of different assignments of pollsters to houses that are possible are 116,280 assignments
