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 all the students are equally willing.

324

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251

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495

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300

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Solution

The correct option is D $495$
$4$ Student $⟶ 12$ Students
Selecting and arranging $4$ out of $12$ students
$^{12} C_{4}$ $⟶$ Number of ways of selecting
$= \frac{12 \times 11 \times 10 \times 9}{4 \times 3 \times 2 \times 1} = 495$

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Team of four students is to be selected from a total of 12 students for a quiz competition. In how many ways it can be selected if two particular students have to be included in the team.

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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 all the students are equally willing.

The correct option is D 4954 Student ⟶12 Students Selecting and arranging 4 out of 12 students 12C4⟶ Number of ways of selecting =12×11×10×94×3×2×1=495

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 all the students are equally willing.

The correct option is D $495$
$4$ Student $⟶ 12$ Students
Selecting and arranging $4$ out of $12$ students
$^{12} C_{4}$ $⟶$ Number of ways of selecting
$= \frac{12 \times 11 \times 10 \times 9}{4 \times 3 \times 2 \times 1} = 495$