A schoolteacher has to select the maximum possible number of different groups of $3$ students out of a total of $6$ students. In How many groups any particular student will be included?

6

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8

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10

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12

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Solution

The correct option is C $10$
Suppose any particular student is always selected.

Now, the remaining $2$ students are to be selected out of the remaining $5$ students.

It can be done in ${5_{C}}_{2}$ ways $= 10$

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A schoolteacher has to select the maximum possible number of different groups of 3 students out of a total of 6 students. In How many groups any particular student will be included?

The correct option is C 10Suppose any particular student is always selected. Now, the remaining 2 students are to be selected out of the remaining 5 students.It can be done in 5C2 ways =10

A schoolteacher has to select the maximum possible number of different groups of $3$ students out of a total of $6$ students. In How many groups any particular student will be included?

The correct option is C $10$
Suppose any particular student is always selected.

Now, the remaining $2$ students are to be selected out of the remaining $5$ students.

It can be done in ${5_{C}}_{2}$ ways $= 10$