In a shelf, there are $10$ English and $8$ Telugu books. The number of ways in which $6$ books can be chosen if a particular English book is excluded and a particular Telugu book is excluded, is

^{9} C_{3} \cdot^{7} C_{3}

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^{16} C_{6}

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^{9} C_{3} \cdot^{8} C_{3}

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^{18} C_{8}

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Solution

The correct option is B $^{16} C_{6}$
If a particular English book and a particular Telugu book is excluded, only $16$ books are left.
We have to choose $6$ out of them.
Required answer $=^{16} C_{6}$

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Combination with Restrictions

Standard XII Mathematics

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In a shelf, there are 10 English and 8 Telugu books. The number of ways in which 6 books can be chosen if a particular English book is excluded and a particular Telugu book is excluded, is

The correct option is B 16C6 If a particular English book and a particular Telugu book is excluded, only 16 books are left. We have to choose 6 out of them. Required answer =16C6

In a shelf, there are $10$ English and $8$ Telugu books. The number of ways in which $6$ books can be chosen if a particular English book is excluded and a particular Telugu book is excluded, is

The correct option is B $^{16} C_{6}$
If a particular English book and a particular Telugu book is excluded, only $16$ books are left.
We have to choose $6$ out of them.
Required answer $=^{16} C_{6}$