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Asked by Surjitsp6u | 02 Aug, 2019, 06:52: AM
Expert Answer
begin mathsize 16px style open vertical bar table row cell straight C presuperscript straight x subscript 1 end cell cell straight C presuperscript straight x subscript 2 end cell cell straight C presuperscript straight x subscript 3 end cell row cell table row cell straight C presuperscript straight y subscript 1 end cell end table end cell cell straight C presuperscript straight y subscript 2 end cell cell straight C presuperscript straight y subscript 3 end cell row cell straight C presuperscript straight z subscript 1 end cell cell straight C presuperscript straight z subscript 2 end cell cell straight C presuperscript straight z subscript 3 end cell end table close vertical bar
equals open vertical bar table row cell fraction numerator straight x factorial over denominator open parentheses straight x minus 1 close parentheses factorial end fraction end cell cell fraction numerator straight x factorial over denominator 2 open parentheses straight x minus 2 close parentheses factorial end fraction end cell cell fraction numerator straight x factorial over denominator 3 factorial open parentheses straight x minus 3 close parentheses factorial end fraction end cell row cell fraction numerator straight y factorial over denominator open parentheses straight y minus 1 close parentheses factorial end fraction end cell cell fraction numerator straight y factorial over denominator 2 open parentheses straight y minus 2 close parentheses factorial end fraction end cell cell fraction numerator straight y factorial over denominator 3 factorial open parentheses straight y minus 3 close parentheses factorial end fraction end cell row cell fraction numerator straight z factorial over denominator open parentheses straight z minus 1 close parentheses factorial end fraction end cell cell fraction numerator straight z factorial over denominator 2 open parentheses straight z minus 2 close parentheses factorial end fraction end cell cell fraction numerator straight z factorial over denominator 3 factorial open parentheses straight z minus 3 close parentheses factorial end fraction end cell end table close vertical bar
equals open vertical bar table row cell fraction numerator straight x open parentheses straight x minus 1 close parentheses factorial over denominator open parentheses straight x minus 1 close parentheses factorial end fraction end cell cell fraction numerator straight x open parentheses straight x minus 1 close parentheses open parentheses straight x minus 2 close parentheses factorial over denominator 2 open parentheses straight x minus 2 close parentheses factorial end fraction end cell cell fraction numerator straight x open parentheses straight x minus 1 close parentheses open parentheses straight x minus 2 close parentheses open parentheses straight x minus 3 close parentheses factorial over denominator 3 factorial open parentheses straight x minus 3 close parentheses factorial end fraction end cell row cell fraction numerator straight y open parentheses straight y minus 1 close parentheses factorial over denominator open parentheses straight y minus 1 close parentheses factorial end fraction end cell cell fraction numerator straight y open parentheses straight y minus 1 close parentheses open parentheses straight y minus 2 close parentheses factorial over denominator 2 open parentheses straight y minus 2 close parentheses factorial end fraction end cell cell fraction numerator straight y open parentheses straight y minus 1 close parentheses open parentheses straight y minus 2 close parentheses open parentheses straight y minus 3 close parentheses factorial over denominator 3 factorial open parentheses straight y minus 3 close parentheses factorial end fraction end cell row cell fraction numerator straight z open parentheses straight z minus 1 close parentheses factorial over denominator open parentheses straight z minus 1 close parentheses factorial end fraction end cell cell fraction numerator straight z open parentheses straight z minus 1 close parentheses open parentheses straight z minus 2 close parentheses factorial over denominator 2 open parentheses straight z minus 2 close parentheses factorial end fraction end cell cell fraction numerator straight z open parentheses straight z minus 1 close parentheses open parentheses straight z minus 2 close parentheses open parentheses straight z minus 3 close parentheses factorial over denominator 3 factorial open parentheses straight z minus 3 close parentheses factorial end fraction end cell end table close vertical bar
Take space straight x comma straight y comma straight z space common space from space straight R subscript 1 comma straight R subscript 2 space and space straight R subscript 3 space respectively.
straight R subscript 2 rightwards arrow straight R subscript 2 space minus space straight R subscript 1 space and space straight R subscript 3 rightwards arrow straight R subscript 3 space minus space straight R subscript 1 Taking space straight y minus straight x space and space straight z minus straight x space from space straight R subscript 2 space end subscript and space straight R subscript 3 space respectively space and space expandto space get space the space value. end style
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