Question

In how many ways can 2 pizza toppings be chosen from 12 available toppings? 

          In how many ways can 2 pizza toppings be chosen from 12 available toppings?

Added by Joan H.

Algebra and Trigonometry
Algebra and Trigonometry
James Stewart, Lothar Redlin, Saleem… 3rd Edition
Chapter 14
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In how many ways can 2 pizza toppings be chosen from 12 available toppings?
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Transcript

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00:01 Fellow students we are going to write here in how many ways can two pizza toppings can be chosen from 12 toppings so this can be written according to ncr which represents number of ways for a four combination when our values are selected from n values so here n values are 12 and we are going to select two values so we are going to select two values so we are going to write here here number of ways number of ways that we are going to write here two pizza toppings can be chosen from 12 toppings 12 toppings we are going to write here for this so this is ncr it means that 12 c2 so ncr is n factorial n minus r factorial and r factorial so we are going to write here for this 12 factorial divided by 10 factorial and this is 2 factorial this is 12 multiplied by 11 divided by 2 factorial which is 2 so if i write here for this this must be written as 6 which is 66 ways so finally we are going to write here total ways are 66...
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