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Permutations and Combinations: JEE Mains 2022 June 29 Shift 1

Hard· Permutations· +4 / 0

Let

b_1b_2b_3b_4

be a

4

-element permutation with

b_i\in\{1,2,3,\dots,100\}

for

1\le i\le4

and

b_i\ne b_j

for

i\ne j

, such that either

b_1,b_2,b_3

are consecutive integers or

b_2,b_3,b_4

are consecutive integers. Then the number of such permutations

b_1b_2b_3b_4

is equal to ______.

Your answer (numerical)

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