I don’t know why anytime i see at least question in mind always came
Total – {something}
so here also i see at least again i think can we solve in the above way . Then i try and here is the result
11C6 – {5C0*4C4*2C2 + 5C1*4C4*2C1 + 5C1*4C3*2C2 + 4C0*5C5*2C1 + 4C0*5C4*2C2 + 4C1*5C5*2C0 + 4C1*5C4*2C1 + 4C1*5C3*2C2 + 2C0*5C4*4C2 + 2C0*5C3*4C3 + 2C0*5C2*4C4}
Note : I didn’t include 2C0*5C5*4C1 because 6th term is same as this
462 – 202 = 260 answer