Question

Find the number of ways in which 10 apples can be distributed to 7 students such that 2 particular students get an odd number of apples each and every other gets an even number $(\ge 0)$ of apples

• A. $150$
• B. $1035$
• C. $210$
• D. $45$

Answer 1

The correct option is C $210$

Out of $7$ students let us first choose those $2$ students.

$\therefore$ Number of ways ${}^7{C}_2=21$

Now, since $0$ apple can be given to students and apples are identical $\therefore$ we have $10$ ways of distribution of apple

$\Rightarrow 21\times 10=210$

Hence, the answer is $210.$