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06 May 2026, 19:00
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C
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Difficulty:
45%
(medium)
Question Stats:
62% (01:19) correct
38%
(01:20)
wrong
based on 121
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Letters of the word “POLITICS” are shuffled to form all possible distinct combinations. In how many cases do the letters P, O, and L come together in the order “POL”?
A. 120
B. 240
C. 360
D. 720
E. 2160
A. 120
B. 240
C. 360
D. 720
E. 2160
06 May 2026, 20:47
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“POLITICS” has 8 letters, where I appear twice.
We want P, O, and L to stay together in the exact order “POL”.
Treat “POL” as one single block.
Now we arrange:
(POL), I, I, T, C, S
That gives 6 objects total, with I repeated twice.
Number of distinct arrangements:
6! / 2!
= 720 / 2
= 360
Answer: C. 360
We want P, O, and L to stay together in the exact order “POL”.
Treat “POL” as one single block.
Now we arrange:
(POL), I, I, T, C, S
That gives 6 objects total, with I repeated twice.
Number of distinct arrangements:
6! / 2!
= 720 / 2
= 360
Answer: C. 360
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08 May 2026, 02:47
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Treat “POL” as one single block.
So we arrange:
(POL), I, T, I, C, S
Total objects = 6, where "I" repeats twice.
Number of arrangements:
\(\frac{6!}{2!}\\
\\
=\frac{720}{2}=360\)
Answer: C
So we arrange:
(POL), I, T, I, C, S
Total objects = 6, where "I" repeats twice.
Number of arrangements:
\(\frac{6!}{2!}\\
\\
=\frac{720}{2}=360\)
Answer: C
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