51.
A college has 10 basketball players. A 5 member's team and a captain will be selected out of these 10 players. How many different selections can be made?

52.
How many four letter distinct initials can be formed using the alphabets of English language such that the last of the four words is always a consonant?

53.
What is the total number of ways in which Dishu can distribute 9 distinct gifts among his 8 distinct girlfriends such that each of them gets at least one gift?

54.
How many number of times will the digit 7 be written when listing the integers from 1 to 1000?

55.
In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?

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