Archive for the ‘Mathematics’ Category

Who can solve these problems about counting rules?

July 18th, 2009 by admin | 3 Comments | Filed in Mathematics
john p asked:


1.In how many different orders can six people sit around a round table.
2.For a group of 4 men and 5 women, how many committees of size 3 are possible: a) with no restriction? b) With 1 man and 2 women?
3.How many six-person volleyball teams be made from a group of seven men and three women if:
a.There is no sex discrimination?
b.The team must contain at least two women?
4.How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club and 2 hearts?
5.A president and a treasurer are to be chosen from a student club consisting of 50 people. Ho many different choices of officers are possible if
a.there are no restrictions
b.A will serve only if he is president
c.B and C will serve together or not at all?
6.Find the number of ways in which nine contestants can be ranked first, second, third, fourth and fifth to their heights.
7.How many different permutations are there of the letters from the word Mississippi?

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