jee-main 2025 Q63

jee-main · India · session2_07apr_shift1 Binomial Theorem (positive integer n) Combinatorial Counting via Binomial Theorem
Q63. If the set $R = \{ ( a , b ) : a + 5 b = 42 , a , b \in \mathbb { N } \}$ has $m$ elements and $\sum _ { n = 1 } ^ { m } \left( 1 - i ^ { n ! } \right) = x + i y$, where $i = \sqrt { - 1 }$ , then the value of $m + x + y$ is
(1) 12
(2) 4
(3) 8
(4) 5
Q63. If the set $R = \{ ( a , b ) : a + 5 b = 42 , a , b \in \mathbb { N } \}$ has $m$ elements and $\sum _ { n = 1 } ^ { m } \left( 1 - i ^ { n ! } \right) = x + i y$, where $i = \sqrt { - 1 }$ , then the value of $m + x + y$ is\\
(1) 12\\
(2) 4\\
(3) 8\\
(4) 5