Question
EXPLAIN THE FOLLOWING: A committee of 6 is to be selected from 6 lawyers and 9 engineers. In how many ways: a) can 2 lawyers
EXPLAIN THE FOLLOWING:
A committee of 6 is to be selected from 6 lawyers and 9 engineers. In how many ways:
a) can 2 lawyers and 4 engineers be chosen to form the committee?
(6C2)(9C4) = 1890
b) 3 lawyers and 3 engineers?
(6C3)(9C3) = 1680
c) 6 engineers?
(6C0)(9C6) = 84
d) all lawyers?
(6C6)(9C0) = 1
In how many ways can 40 students choose their seats in a room with 5 rows of chairs, each row containing 10 chairs if they can sit:
a) in any of the 50 seats?
(50P40) = 8.381308753 x 1057
b) if the last row has to be left vacant?
(40P40) = 8.159152832 x 1047
In how many ways can one select 5 Philippine stamps and 4 Australian stamps from 15 Philippine stamps, 12 American stamps and 9 Australian stamps and then arrange them on 9 spaces in a stamp album?
> (15C5) (12C0) (9C4) (9P9) = 1.373058086 x 1011
Roy is planning to buy a new car. He has a choice of 3 engine makes, 7 body styles and
14 different colors. How many different cars does he have to choose from?
> (3) (7) (14) = 294
It is required to seat 5 men and 5 women in a row of 10 chairs so that the women occupy the even-numbered seats. How many such arrangements are possible?
> (5P5) (5P5) = 14400
A mountain to be observed for bio-diversity was divided into 25 observation quadrats. In
how many ways can a biologist select 5 quadrats for observation and plan his transfer from
quadrat to quadrat?
> (25C5) (5P5) = 6375600 OR 25P5 = 6375600
With 12 airlines to choose from for the trips, in how many ways can Mr. Lo travel from
Manila to Sydney and back to Manila:
a) if he chooses not to travel on the same airline on his way back?
(12C1)(11C1) = 132
b) if he chooses to travel on the same airline on his way back?
(12C1)(1) = 12
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