Factorial
How
many different five digit numbers can be formed from the digits 1, 2, 3, 4 and
5? The first position in the number may be occupied by any one of the five
digits, i.e. there are five possibilities for the first digit of the number.
When this position has been filled, only four possibilities remain for the
second possition. For the third position, only three possibilities remain, for
the fourth only two, and for the final position there is no choose. Hence the
total of different numbers that can be formed from the five digits is 5 x 4 x 3
x 2 x 1 = 120.
In
general, for n different digits, the total number of possible arrangements is n
x (n-1) x ... x 3 x 2 x 1. Such products occur frequently in mathematics and
are denoted by n! , which is read as n factorial.
Vectors and Scalars
Listen
to the passage and write down the word or phrase in each of the following pairs
which occurs in the passage : the second quantity/ a second quantity,
both/boat, express/expressed, cylindrical/cylinder, 40/30, both these/both of
these, location/locating, consist/consists.
Divide
the following quantities into vector or scalar quantities: speed, mass,
displacement, weight, force, acceleration, velocity, distance, volume,
temperature, momentum, power.
Say
the whether the following statements are true or false.
The Mobius Strip
The Mobius Strip is a construction which has some
very strange properties. It is named after Mobius (1790-1868). Who first wrote
about it in 1865 in a book called Uber die Bertimmung des Inhates eines Polyeders.
Sumber
: English For Teaching Mathemaics and
Science by Dr. Hamzah Upu, M.Ed.
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