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EMMA’s Dilemma - page 5

Keywords: EMMA’s Dilemma

By Grant867 on 07/12/2008

Level: GCSE Key Stage 4 (Years 10-11)

Page Number: 5 of 5   pages: 1 2 3 4 5

of a number

the formula is a=ni/xixixi

form 3 pairs of different number of figures of same number of a number

the formular is a=ni/x1ix2ix3i.

The formular can be also used to the arrangements of letter.

For example:

xxyy

the arrangement for this is a=(4*3*2*1)/(2*1*2*1)=6

xxyyy

the arrangement for this is a=(5*4*3*2*1)/(3*2*1*2*1)=10

xxxxxxyyyyyyyyyy

the arrangement for this is

a=ni/x1ix2i=(16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1)/(10*9*8*7*6*5*4*3*3*2*1*6*5*4*3*2*1)=8008

The total arrangement is 8008.

Use this formular, we can find out the total arrangements of all numbers and letters.

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EMMA’s Dilemma- page 5