Number of arrangements of the letters R, A, N, K, O, N, E such that neither the word RANK nor the word ONE appear, is

Question

Number of arrangements of the letters R, A, N, K, O, N, E such that neither the word RANK nor the word ONE appear, is (A) 2376 (B) 2374 (C) 2378 (D) 2372

Tardigrade Admin · Accepted Answer

Number of arrangements =(7 !/2 !)-(4 !+5 !-2 !) =2378

Q. Number of arrangements of the letters $R, A, N, K, O, N, E$ such that neither the word RANK nor the word ONE appear, is

2376

2374

2378

2372

Number of arrangements
$= \frac{7 !}{2 !} - (4! + 5! - 2!)$
$= 2378$

Q. Number of arrangements of the letters R,A,N,K,O,N,E such that neither the word RANK nor the word ONE appear, is