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Find the number of ways in which 10 different flowers can be strung to form a garland so that 4 particular flowers are never separated.

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Consider 4 particular flowers as one flower. Then, we have 7 flowers which can be strung to form a garland in (7 – 1)! = 6! ways. But 4 particular flowers can be arranged in 4! ways.

Hence, the required number of ways = \(\frac12(6!\times4!)\) = 8640.

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