Скачать или смотреть The CROCODILE Question | May/June 2022 Paper 52 | Permutations & Combinations | AS/A level Math 9709

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Special thanks to Muhammad Bilal (The Science School, Islamabad), who pointed out the 2! thing that I had not accounted for in the earlier solution)

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Find the number of different possible arrangements of the 9 letters in the word CROCODILE.

Find the number of different arrangements of the 9 letters in the word CROCODILE that start and end with a C and do not have the two O’s together.

Four of the nine letters in the word CROCODILE are selected at random. Find the number of possible selections in which the number of C’s is not equal to the number of O’s.

Find the number of different ways in which the 9 letters of the word CROCODILE can be divided into three groups, each group containing three letters, if the two C’s have to be in different groups.