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JEE 2025 Mathematics PYQ — The number of sequences of ten terms, whose terms are either 0 or… | Mathem Solvex | Mathem Solvex

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JEE
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Q. 2503

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JEE 2025 — Mathematics PYQ

JEE | Mathematics | 2025

The number of sequences of ten terms, whose terms are either 0 or 1 or 2, that contain exactly five 1s and exactly three 2s, is equal to:

Choose the correct answer:

A.
360
B.
45
C.
2520
(Correct Answer)
D.
1820

Correct Answer:

2520

Explanation

$Sequence contains five 1s, three 2s, two 0s.$

$∴ Total number of sequences$

$= \frac{10 !}{5 ! 3 ! 2 !}$

$= 2520$

Explanation

$Sequence contains five 1s, three 2s, two 0s.$

$∴ Total number of sequences$

$= \frac{10 !}{5 ! 3 ! 2 !}$

$= 2520$

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