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Question Number 37711 by Rio Mike last updated on 16/Jun/18

A commitee of 2 boys and 1 girl  has to be formed from a class  of 4 boys and 3 girls give the number  of ways these can be done

$${A}\:{commitee}\:{of}\:\mathrm{2}\:{boys}\:{and}\:\mathrm{1}\:{girl} \\ $$$${has}\:{to}\:{be}\:{formed}\:{from}\:{a}\:{class} \\ $$$${of}\:\mathrm{4}\:{boys}\:{and}\:\mathrm{3}\:{girls}\:{give}\:{the}\:{number} \\ $$$${of}\:{ways}\:{these}\:{can}\:{be}\:{done} \\ $$

Answered by math1967 last updated on 17/Jun/18

c_2 ^4 ×c_1 ^3 =6×3=18

$$\overset{\mathrm{4}} {{c}}_{\mathrm{2}} ×\overset{\mathrm{3}} {{c}}_{\mathrm{1}} =\mathrm{6}×\mathrm{3}=\mathrm{18} \\ $$

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