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Question

Mathematics Question on Permutations and Combinations

Find the number of ways in which ten different flowers can be strung together to make a garland in such a way that three particular flowers are always together?

A

30240

B

30420

C

23400

D

None of these

Answer

None of these

Explanation

Solution

Three particular flowers are taken as '1' as these flowers are taken together.
Now total number of flowers is '8' and these flowers can be arranged in 8! ways. And
Three particular flowers are arranged in 3! ways.
Total number of ways = 8! x 3! = 241920
Hence, option D is the correct answer.The correct option is (D): None of these