Find the values of

Question:

Find the values of

(i) ${ }^{200} \mathrm{C}_{198}$,

(ii) ${ }^{76} \mathrm{C}_{0}$,

(iii) ${ }^{15} \mathrm{C}_{15}$

 

Solution:

(i) ${ }^{200} C_{198}$ $=\frac{200 !}{198 !(200-198) !}=\frac{200 !}{198 ! 2 !}=\frac{200 \times 199}{2 !}=100 \times 199=19900$

(ii) ${ }^{76} \mathrm{C}_{0}$ $=\frac{76 !}{0 ! 76 !}=1_{[\text {As } 0 !=1]}$

(iii) ${ }^{15} \mathrm{C}_{15}$ $=\frac{15 !}{15 ! 0 !}=1$

 

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