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 $=120+48=168$