Question
Mathematics Question on Straight lines
A letter lock consists of three rings with 15 different letters. If N denotes the number of ways in which it is possible to make unsuccessful attempts to open the lock, Then
A
482 divides N
B
N is the product of two distinct prime numbers.
C
N is the product of three distinct prime numbers.
D
16 divides N
Answer
482 divides N
Explanation
Solution
The correct answer is/are option(s):
(A) 482 divides N
(C) N is the product of three distinct prime numbers.
The total number of possible permutations=15×15×15=3375
and out of all these permutations only one pattern will be the correct one.
Hence total number of unsuccessful attempts =3375−1=3374=2×7×241