In how many ways can 5 red and 4 white balls be draw from a bag containing 10 red and 8 white balls?

^{8} C_{5} \times^{10} C_{4}

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^{10} C_{5} \times^{8} C_{4}

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^{18} C_{9}

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^{18} C_{5} \times^{18} C_{4}

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Solution

The correct option is A $^{10} C_{5} \times^{8} C_{4}$
$A b a g c o n t a i n s 10 r e d a n d 8 w h i t e b a l l s . S o w e h a v e t o s e l e c t 5 r e d a n d 4 w h i t e . T h i s c a n b e d o n e b y c h o o s i n g 5 r e d b a l l s f r o m 10 r e d b a l l s a n d 4 w h i t e b a l l s f r o m 8 w h i t e b a l l s N u m b e r o f W a y s =^{10} C_{5} \times^{8} C_{4}$

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