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QJEEM21Ma2fe6: JEE Main 2021 Mathematics - Class 11 JEEM21Ma2fe6 Solution: The missing value in the following figure is

The missing value in the following figure is

JEE Main 2021 (Online) 18th March Morning Shift Mathematics - Permutations and Combinations Question 117 English

Step-by-Step Verified Solution

Inside number =(=\left(\right. difference) (difference)!{ }^{(\text {difference}) !}

=(=( Greater number - Smaller number)(Greater number - Smaller number)!

i.e. 1=(2−1)(2−1)!,1=(2-1)^{(2-1) !},

424=(12−8)(12−8)!,4^{24}=(12-8)^{(12-8) !},

36=(7−4)(7−4)!3^6=(7-4)^{(7-4) !}

∴?=(5−3)(5−3)!\therefore \quad ?=(5-3)^{(5-3) !}

∴\therefore Required number =22!=22×1=4=2^{2 !}=2^{2 \times 1}=4

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