Question

(6c3 ×3c2) + ( 6c2 × 3c3)​

Answer 1

Answer:

=18c^5+18c^5

=36c^5 is your answer...

I hope it's help you.......

Answer 2

SOLUTION

TO DETERMINE

$\sf{ \big( \: {}^{6}C_3 \times {}^{3}C_2 \big) + \big( \: {}^{6}C_2 \times {}^{3}C_3 \big)}$

EVALUATION

$\sf{ \big( \: {}^{6}C_3 \times {}^{3}C_2 \big) + \big( \: {}^{6}C_2 \times {}^{3}C_3 \big)}$

$\displaystyle \sf{ = \bigg( \frac{6!}{3! \: 3!} \times \frac{3!}{2! \: 1!}\bigg) +\bigg( \frac{6!}{2! \: 4!} \times \frac{3!}{3! \: 0!}\bigg) }$

$\displaystyle \sf{ = \bigg( \frac{6 \times 5 \times 4}{3 \times 2} \times \frac{3}{1}\bigg) +\bigg( \frac{6 \times 5 }{2} \times \frac{3}{3}\bigg) }$

$= 60 + 15$

$= 75$

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