IT Placement Practice Test 6

3600 = 24×32×52
Let abc = 24×32×52
We have to distribute four 2's to three numbers a, b, c in (4+3−1)C(3−1)=

6

‌

C2 = 15 ways.
Now two 3's has to be distributed to three numbers in (2+3−1)C(3−1) =

4

‌

C2 = 6 ways
Now two 5's has to be distributed to three numbers in (2+3−1)C(3−1)=

4

‌

C2 = 6 ways
Total ways = 15 × 6 × 6 = 540.