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A delicatessen makes a roast beef-on-sourdough sandwich for which you can choose from 9 condiments.

(a) How many different types of roast-beef-on-sourdough sandwiches can the delicatessen prepare? __________ different types

(b) What is the minimum number of condiments the delicatessen must have available if it wishes to offers at least 2,000 different types of roast-beef-on-sourdough sandwiches? _______condiments​

Respuesta :

fichoh
  • The number of sandwiches that can be made is : 512
  • The minimum number of condiments to offer atleast 2000 different sandwiches is 11

Given that the number of condiments to choose from = 9

The number of arrangements of n items in a list can be obtained using the relation

[tex] {2}^{n} [/tex]

Here, n = 9

Therefore, the Number of sandwiches that can be made is :

[tex] {2}^{9} = 512[/tex]

The minimum number of condiments required in other to offer atleast 2000 different sandwiches :

This can be attained thus :

[tex] {2}^{n} \geqslant 2000[/tex]

n = 11

[tex] {2}^{11} = 2048[/tex]

Since 2^11 satisfies the inequality, then number of condiments to offer atleast 2000 different sandwiches is 11

Learn more : https://brainly.com/question/8018593?referrer=searchResults

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