Permutation Combination Question 3
Question 3 - 24 January - Shift 2
The number of integers, greater than 7000 that can be formed, using the digits $3,5,6,7,8$ without repetition, is
(1) 120
(2) 168
(3) 220
(4) 48
Show Answer
Answer: (2)
Solution:
Formula: Permutation without repitition
Four digit numbers greater than 7000 $=2 \times 4 \times 3 \times 2=48$
Five digit number $=5 !=120$
Total number greater than 7000 $=120+48=168$