A delegation of four students is to be selected from a total of $12$ students.In how many ways can the delegation be selected If two particular students wished to be included together only

255

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210

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400

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450

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Solution

The correct option is C $255$
$4$ Student of $12$ Students
Both included
$\Rightarrow$ Two more to be selected
$\Rightarrow$ $^{10} C_{2} = \frac{10 \times 9}{2} = 45$
Both excluded
Then number of ways $=^{10} C_{4} = 210$
Total ways $= 210 + 45 = 255$ Ways

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A delegation of four students is to be selected from a total of 12 students.In how many ways can the delegation be selected If two particular students wished to be included together only

The correct option is C 2554 Student of 12 Students Both included ⇒ Two more to be selected ⇒ 10C2=10×92=45Both excludedThen number of ways =10C4=210Total ways =210+45=255 Ways

A delegation of four students is to be selected from a total of $12$ students.In how many ways can the delegation be selected If two particular students wished to be included together only

The correct option is C $255$
$4$ Student of $12$ Students
Both included
$\Rightarrow$ Two more to be selected
$\Rightarrow$ $^{10} C_{2} = \frac{10 \times 9}{2} = 45$
Both excluded
Then number of ways $=^{10} C_{4} = 210$
Total ways $= 210 + 45 = 255$ Ways