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Frances has 8 tulip bulbs, 10 daffodil bulbs, and 7 crocus bulbs. In how many ways can Frances plant these bulbs in a border along the edge of her garden? (Remember that all 8 tulip bulbs are the same, all 10 daffodil bulbs are the same, and all 7 crocus bulbs are the same.)

Respuesta :

JeanaShupp

Answer: 21034470600

Step-by-step explanation:

Given : The number of number of tulip bulbs = 8

The number of daffodil bulbs = 10

The number of crocus bulbs = 7

Total bulbs = 10+8+7=25

We know that the number of permutations to arrange n objects , where k are of one kinds , m are of another kind and so on is

[tex]\dfrac{n!}{m!k!....}[/tex]

Now, the number of ways by which Frances can plant these bulbs in a border along the edge of her garden :-

[tex]\dfrac{25!}{10!8!7!}=21034470600[/tex]

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