Permutations And Combinations Question 340
Question: In a small village, there are 87 families, of which 52 families have at most 2 children. In a rural development programme 20 families are to be chosen for assistance, of which at least 18 families must have at most 2 children. In how many ways can the choice be made?
Options:
A) $ ^{52}C_18^{35}C_2 $
B) $ ^{52}C _{18}{{\times }^{35}}C_2{{+}^{52}}C _{19}{{\times }^{35}}C_1{{+}^{52}}C _{20} $
C) $ ^{52}C _{18}{{+}^{35}}C_2{{+}^{52}}C _{19} $
D) $ ^{52}C _{18}{{\times }^{35}}C_2{{+}^{35}}C_1{{\times }^{52}}C _{19} $
Correct Answer: BShow Answer
Answer:
Solution: