In a class, there are 27 boys and 14 girls. The teacher wants to select 1 boy and 1 girl to represent the class in a function. In how many ways can the teacher make this selection?

$Given:27\;boys\;and\;14\;girls.\\*Here\;the\;teacher\;has\;to\\* (i)\;Select\;a\;boy\;among\;27\;boys,\;and\\*(ii)\;Select\;a\;girl\; among\;14\;girls.\\*Number\;of\;ways\;to\;select\;one\;boy\;is\; _{}^{27}\textrm{C}_1\;and\;similarly\;the\;number\;of\\*ways\;to\; select\;one\;girl\;is\;_{}^{14}\textrm{C}_1\\*Hence,\;the\;number\; of\;ways\;to\;select\;1\;boy\;and\;1\;girl\;to\;represent\;the\\*class\;in\; a\;function\;is,\\*\Rightarrow\;_{}^{27}\textrm{C}_1\times _{}^{14}\textrm{C}_1=14\times27=378\;ways$

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