Permutation Combination Question 5

Question 5 - 25 January - Shift 2

The number of numbers, strictly between 5000 and 10000 can be formed using the digits 1,3,5,7,9 without repetition, is

(1) 6

(2) 12

(3) 120

(4) 72

Show Answer

Answer: (4)

Solution:

Formula: Combinations of Alike Objects

Numbers between $5000 ; ; \text{and} ; ; 10000$

Using digits 1, 3, 5, 7, 9

Total Numbers $=3 \times 4 \times 3 \times 2=72$