Find the number of different arrangements of the 9 letters in the word CELESTIAL in which the first letter is $$$\mathrm{C}$$$, the fifth letter is $$$\mathrm{T}$$$ and the last letter is $$$\mathrm{E}$$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s20_qp_53 Year：2020 Question No：7(b)

Answer:

$\frac{6 !}{2 !}$
360

Knowledge points:

5.2.2.1 repetition (e.g. the number of ways of arranging the letters of the word ‘NEEDLESS’)

5.2.2.2 restriction (e.g. the number of ways several people can stand in a line if two particular people must, or must not, stand next to each other). (Questions may include cases such as people sitting in two (or more) rows.) (Questions about objects arranged in a circle will not be included.)

Answer:

Knowledge points:

Solution:

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