Question
Question: How many numbers greater than 24000 can be formed by using digits 1, 2, 3, 4, 5 when no digit is rep...
How many numbers greater than 24000 can be formed by using digits 1, 2, 3, 4, 5 when no digit is repeated.
A
36
B
60
C
84
D
120
Answer
84
Explanation
Solution
The digits are 1, 2, 3, 4, 5. We have to form number greater than 24000.
Required number will be = (Total) – (Those beginning with 1) – (Those beginning with 21) – (Those beginning with 23) = 5!−4!−3!−3!=120−24−6−6=84.