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  • In how many ways can a Quality Analyst team of none or more members be made from 16 Mathematics experts, 5 Science experts, 6 Biology experts?Option: 1

In how many ways can a Quality Analyst team of none or more members be made from 16 Mathematics experts, 5 Science experts, 6 Biology experts?

Option: 1

761


Option: 2

741


Option: 3

417


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!\left ( y-x \right )!}}

  • 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 Mathematics experts is \mathrm{=16+1=17}\mathrm{=16+1=17}=16+1=17

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

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

Therefore, the required combination is

=17\times6\times7

=714

 

 

 

Posted by

HARSH KANKARIA

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