Permutations And Combinations Question 332
Question: The number of six digit numbers that can be formed from the digits $ 1,2,3,4,5,6 $ and 7 so that digits do not repeat and the terminal digits are even, is
Options:
A) 144
B) 72
C) 288
D) 720
Correct Answer: D
Show Answer
Answer:
Solution:
$ \therefore $ Terminal digits are even
$ \therefore $ 1st place can be filled in 3 ways and last place can be filled in 1 ways and remaining places can be filled in $ ^{5}P_4=120 $ ways. Hence the number of six digit numbers so that the terminal digits are even, is $ 3\times 120\times 2=720 $
BETA
