1
TS EAMCET 2022 (Online) 18th July Evening Shift
MCQ (Single Correct Answer)
+1
-0
$a, b, c$ are three particular speakers among the 10 speakers of a meeting. The number of ways of arranging all 10 speakers on the dias in a row so that all the three speakers $a, b, c$ do not sit together is
2
TS EAMCET 2022 (Online) 18th July Evening Shift
MCQ (Single Correct Answer)
+1
-0
The exponent of 6 in 72 ! is
3
TS EAMCET 2022 (Online) 18th July Morning Shift
MCQ (Single Correct Answer)
+1
-0
The number of 3-digit odd numbers divisible by 3 that can be formed using the digits $1,2,3,4,5,6$ when repetition is not allowed, is
4
TS EAMCET 2022 (Online) 18th July Morning Shift
MCQ (Single Correct Answer)
+1
-0
$$ \text { Match the items of List-I to the items of List-II } $$
| List-I | List-II | ||
|---|---|---|---|
| (A) | The number of ways of not selecting ( $n-r$ ) things from $n$ different things | (I) | $1+{ }^n C_1+{ }^n C_2+\ldots+{ }^n C_r$ |
| (B) | $\quad(n-r+1) \cdot{ }^n C_{r-1}$ | (II) | $(r+1) \cdot{ }^n C_{r+1}$ |
| (C) | The number of ways of selecting atleast ( $n-r$ ) things from $n$ different things | (III) | $r \cdot{ }^n \mathrm{C}$, |
| (D) | $(n-r)\left({ }^{(n-1)} C_{r-1}+{ }^{(n-1)} C_r\right)$ | (IV) | $$ \begin{aligned} & 2^n-1-n- \\ & { }^n C_2-\ldots-{ }^n C_r \end{aligned} $$ |
| (V) | ${ }^n C_{n-1}$ | ||
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