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If number of selections of 6 different letters that can be made from the words 'SUMAN' and 'DIVYA' so that each selection contains 3 letters from each word, is N  2   then the value of N is

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Here A is common letter in words ′ SUMAN ′ and DIVYA ′ Now for selecting six different letters we must select A either from word 'SUMAN' or from word 'DIVYA'.Hence for possible selections, we haveA excluded from SUMAN+A included in SUMAN= 4 C 3​ ⋅ 5 C 3​ + 4 C 2​ ⋅ 4 C 3​ =40+24=64Hence N 2 =64⇒N=8.
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