36. Express in the form 

37. How many of the 3 binomial coefficients with n = 0 or 1 are odd?

38. How many of the 10 binomial coefficients with n = 0, 1, 2, or 3 are odd?

39. How many binomial coefficients are there with n = 0, 1, 2, 3, 4, 5, 6, or 7, and how many of these are odd?

40. Show that all eight of the coefficients are odd.

41. For what values of n among 0, 1, 2,..., 20 are all the coefficients on row n of the Pascal Triangle odd?

42. If n is an answer to the previous problem, how many of the binomial coefficients on row n + 1 of the Pascal Triangle are odd?

^*43. How many binomial coefficients are there with n = 0, 1, 2,..., 1022, or 1023, and how many of these are even?