math!

1)
A lottery is set up in which players pick six numbers from the set 1, 2, 3, ... , 39, 40. How many different ways are there to play this lottery? (In this game the order in which the numbers are picked does NOT matter.)

2)

A club of 15 students will form a subcommittee consisting of three students. How many different such subcommittees can be formed?

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  1. 1)40C6=40!/(6!x34!)=3,838,380
    2)15C3=15!/(3!x12!)=455

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