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Q. $A$ and $B$ are non-singleton sets and $n(A \times B)=35 .$ If $B \subset A$ then $^{n\left(A\right)}C_{n\left(B\right)} = $

KCETKCET 2021Permutations and Combinations

Solution:

$n ( A \times B )=35=7 \times 5,7_{ C _{5}}=7_{ C _{2}}=21$