CAT Exam Numerical Ability Permutation and Combination

From 4 gentlemen and 4 ladies a committee of 5 is to be formed. What will be the number of ways of selecting the committee with at least 3 women such that at least one woman holds the post of either a president or a vice-president?

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CAT Other Question

a 100 litres spirit water solution contain 75% spirit. find the amount of water to be added to convert it into 60% spirit solution Two trains, Calcutta mail and Bombay mail, starts at the same time from stations Kolkata and Mumbai respectively. After passing each other,they take 12hrs and 3hrs to reach Mub=mbai ans Kolkata respectively. If the Calcutta mail is moving @48kmph, find the speed of Bombay mail?
a)23kmph
b)22kmph
c)21kmph
d)96kmph