Find the value of $^{61} C_{57} -^{60} C_{56}$
i) $^{61} C_{58}$
ii) $^{60} C_{57}$

Open in App

Solution

Simplifying $^{61} C_{57} -^{60} C_{56}$ .

$^{61} C_{57} -^{60} C_{56} = \frac{61!}{57! (61 - 57)!} - \frac{60!}{56! (60 - 56)!}$

$= \frac{61!}{57! 4!} - \frac{60!}{56! 4!}$

$= 521855 - 487635$

$= 34220$

(i)

Simplifying $^{61} C_{58}$ .

$^{61} C_{58} = \frac{61!}{58! (61 - 58)!}$

$= \frac{61!}{58! 3!}$

$= 35990$

(ii)

Simplifying $^{60} C_{57}$ .

$^{60} C_{57} = \frac{60!}{57! (60 - 57)!}$

$= \frac{60!}{57! 3!}$

$= 34220$

Suggest Corrections

Similar questions

Find the value of (i) sin $75^{0}$ (ii) tan $15^{0}$ .

(666)^{2}

(66666)^{2}

\sqrt{103.0225}

\sqrt{10302.25}

\sqrt{1.030225}

2^{6}

9^{3}

11^{2}

Join BYJU'S Learning Program