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Permutations and Combinations question

2022 · 29 Jun · Shift 1 · Q41
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Permutations and Combinations question

2022 · 29 Jun · Shift 1 · Q41

JEE MainMathematicsPermutations and CombinationsNumerical+4 / −1
Let b1b2b3b4 be a 4-element permutation with bi ∈\in∈{1, 2, 3, ........, 100} for 1 ≤\le≤ i ≤\le≤ 4 and bi eee bj for i eee j, such that either b1, b2, b3 are consecutive integers or b2, b3, b4 are consecutive integers. Then the number of such permutations b1b2b3b4 is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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