The number of combinations Cn, r of taking r objects out of n objects is given by:
Cn,r = n!/r!(n-r)!
(a) Determine how many combinations are possible in a lottery game for selecting 6 numbers that are drawn out of 49.
(b) Using the following formula, determine the probability of guessing two out of the six drawn numbers.
c6,2c43,4/c49,6
(Use the built-in function factorial.)