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In how many ways can the 9 letters of the word MARMALADE be arranged in a row if the
arrangement must start with an L or a D?
Solution
MARMALADE
There are
2 M
3 A
1 R
1 L
1 D
1 E
So, the first letter can be chosen 2 waysn L or D.
The other 8 letters can be permuted, by permutation of like objects, in 8!/(2!3!1!1!1!) = 3360
ways.
Hence, there are 2*3360 = 6720 ways [ANSWER]

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In how many ways can the 9 letters of the word MARMALADE be arranged.pdf

  • 1. In how many ways can the 9 letters of the word MARMALADE be arranged in a row if the arrangement must start with an L or a D? Solution MARMALADE There are 2 M 3 A 1 R 1 L 1 D 1 E So, the first letter can be chosen 2 waysn L or D. The other 8 letters can be permuted, by permutation of like objects, in 8!/(2!3!1!1!1!) = 3360 ways. Hence, there are 2*3360 = 6720 ways [ANSWER]