The ans is 144000.

**Solution:**

In 5 eligible Gujarati grooms, 2 know Bengali, remaining 3 should make their pair with Gujarati girls.

No. of methods to make such couple = 5.4.3 = 60

Similarly in 5 eligible Bengali grooms, 3 know Gujarati, remaining 2 should make their pair with Bengali girls.

No. of methods to make such couple = 5.4 = 20

No. of methods to make remaining 5 couple = 5.4.3.2.1 = 120

Hence total no. of methods = 60*20*120 = 144000