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  • In how many ways can a SME team of one or more members be made from 16 English experts, 5 Hindi experts, 6 Sanskrit experts?Option: 1 <img

In how many ways can a SME team of one or more members be made from 16 English experts, 5 Hindi experts, 6 Sanskrit experts?

Option: 1

715


Option: 2

713


Option: 3

712


Option: 4

714


Answers (1)

best_answer

Note the following:

  • The formula for the combination for the selection of the \mathrm{x} items from the \mathrm{y}different items is \mathrm{=^{y}C_{x}=\frac{y!}{x!(y-x)!}}

  • The combination for the selection of the none or more items from the \mathrm{n}identical items is \mathrm{=n+1}

From the available data, the following is evident.

  • The combination for the selection of the none or more English experts is  =16+1=17

  • The combination for the selection of the none or more Hindi experts is    =5+1=6

  • The combination for the selection of the none or more Sanskrit experts is=6+1=7

Therefore, the required combination for selection of one or more members is

=17\times6\times7-1

=714-1

=713

 

Posted by

Devendra Khairwa

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