Q) In an exciting finish to an one-day cricket match between India and Pakistan, the Indians require 10 runs in the last 3 balls to win. If any one of the scores 0,1,2,3,4,5,6 can be made from a ball and no wides or no-balls are bowled then in how many different sequences can the batsmen make exactly 10 runs?

My attempt:

I found the coeffecient of x^10 in the expansion of ( 1 + x + x^2 .... x^6)( 1 + x + x^2 .... x^6)(x + x^2 ..... x^6), which comes out to be 33. But the answer is 21.

Q) 5 Indian and 5 American couples meet at a party and shake hands. If no wife shakes hands with her husband and no Indian wife shakes hands with a male, then find the number of handshakes that take place in the party.

I got the answer 115 by simple combinations and inclusion-exclusion but answer is 135.

Both are AD Gupta problems hence even though I am pretty sure of my answers still wanna confirm.