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Question Number 142618 by iloveisrael last updated on 03/Jun/21
$$\:\:\:{In}\:{how}\:{many}\:{ways}\:{can}\:{committee} \\ $$$${of}\:\mathrm{5}\:{be}\:{formed}\:{from}\:{a}\:{group}\: \\ $$$${of}\:\mathrm{11}\:{people}\:{consisting}\:{of}\:\mathrm{4}\:{teachers} \\ $$$${and}\:\mathrm{7}\:{students}\:{if}\:{there}\:{is}\:{no}\: \\ $$$${restriction}\:{in}\:{the}\:{selection}\:? \\ $$$$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \\ $$
Commented by som(math1967) last updated on 03/Jun/21
$$\overset{\mathrm{11}} {{C}}_{\mathrm{5}} =\frac{\mathrm{11}×\mathrm{10}×\mathrm{9}×\mathrm{8}×\mathrm{7}×\mathrm{6}!}{\mathrm{5}×\mathrm{4}×\mathrm{3}×\mathrm{2}×\mathrm{6}!}=\mathrm{22}×\mathrm{3}×\mathrm{7}=\mathrm{462} \\ $$
Commented by otchereabdullai@gmail.com last updated on 04/Jun/21
$$\mathrm{nice} \\ $$