Question 11 Mark
The value of $\left({ }^7 C _0+{ }^7 C _1\right)+\left({ }^7 C _1+{ }^7 C _2\right)+\ldots \ldots \ldots +\left({ }^7 C _6\right.$ $+{ }^7 C _7$ ) is $2^8-2.$
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Question 21 Mark
The value of ${ }^5 C _1+{ }^5 C _2+{ }^5 C _3+{ }^5 C _4+{ }^5 C _5$ is 31
Answer
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Question 31 Mark
$C (n, 12)= C (n, 8)$ then the value of $C (22, n)$ is 232 .
Answer
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Question 41 Mark
The total number of three letter words formed from the letters of the word 'ORIENTAL' is 336.
Answer
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Question 51 Mark
$P (n, r)=n P (n-1 ; r-1)$
Answer
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Question 61 Mark
If ${ }^{22} P _{r+1}:{ }^{20} P _{r+2}=11: 52$ then $r=8$
Answer
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Question 71 Mark
If $P (5, r)=2 \cdot P (6, r-1)$, then $r=4$
Answer
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Question 81 Mark
The total number of nine digits with all digits being different, is $9\lfloor\underline{9}$.
Answer
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Question 91 Mark
The total number of three digits, with no repetition of any digit, is 648 .
Answer
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Question 101 Mark
is divisible by any natural number between 2 and $n$.Answer
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