For each part, decide whether the blank should be filled in with =,< or > , and give aclear explanation. in (a) and (b), order doesn’t matter.(a) (number of ways to choose 5 people out of (number of ways to choose 6people out of 10)(b) (number of ways to break 10 people into 2 teams of (number of ways tobreak 10 people into a team of 6 and a team of 4)(c) (probability that all 3 people in a group of 3 were born on january (probabilitythat in a group of 3 people, 1 was born on each of january 1st, 2nd, and 3rd)martin and gale play an exciting game of "toss the coin," where they toss a fair coinuntil the pattern hh occurs (two consecutive heads) or the pattern th occurs (tails followed immediately by heads). martin wins the game if and only if hh occurs beforeth occurs.(d) (probability that martin wins) 1/2