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30 Jan 2025, 03:17
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
57% (02:48) correct
43%
(03:08)
wrong
based on 74
sessions
History
Date
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How many distinct arrangements of the letters in the word "MISSISSIPPI" are there such that no two "S" letters are adjacent?
(A) 7350
(B) 8400
(C) 7200
(D) 6300
(E) 5600
(A) 7350
(B) 8400
(C) 7200
(D) 6300
(E) 5600
30 Jan 2025, 04:41
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Arranging Non-S letters first: 7!/4!2! = 105
_M_I_I_I_P_P_I_ => we have 8 vacant spaces for 4 S's
Selecting 4 from 8 vacant spaces: 8C4 = 70
Thus, no. of ways no 2 S letters are adjacent = 105*70 = 7350
Answer A.
_M_I_I_I_P_P_I_ => we have 8 vacant spaces for 4 S's
Selecting 4 from 8 vacant spaces: 8C4 = 70
Thus, no. of ways no 2 S letters are adjacent = 105*70 = 7350
Answer A.
