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Fundamental Principle of Counting

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Question

Find the number of 4 letter words that can be made from the letters of the word 'CONSIDER' that are begin with $C$ and end with $R .$

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Solution

$T o t a l 6 l e t t e r s a v a i l a b l e o n c e C a n d R a r e f i x e d t o t h e i r p o s i t i o n R e s t t w o p l a c e c a n b e f i l l e d i n w a y s = 6 \cdot 5 = 30 ∴ n u m b e r o f w o r d s = 30$

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