Ans 300
2)A drawer in a darkened room contains 100 red socks, 80 green socks, 60 blue socks and 40 black socks,95 Blue. A youngster selects socks one at a time from the drawer but is unable to see the color of the socks drawn. What is the smallest number of socks that must be selected to guarantee that the selection contains at least 12 pairs? (A pair of socks is two socks of the same color. No sock may be counted in more than one pair).
ANS 28
3)Find the total number of different rectangles can be drawn on an 8×8 chess board?
ANS 1092
4) This problem is based on IEP(Inclusive and Exclusive Principle)
Define![\[P(x) =(x-1^2)(x-2^2)\cdots(x-100^2).\]](https://latex.artofproblemsolving.com/4/4/6/4468a133d4086845edcd539fce61e77b481d271b.png)
How many integers n are there such that P(n)≤0 ? AMC 10 2020
How many integers n are there such that P(n)≤0 ? AMC 10 20205)Bernardo randomly picks 3 distinct numbers from the set
{1,2,3,4,5,6,7,8,9}
and arranges them in descending order to form a 3-digit number. Silvia randomly picks 3 distinct numbers from the set
{1,2,3,4,5,6,7,8,}
and also arranges them in descending order to form a 3-digit number. What is the probability that Bernardo's number is larger than Silvia's number? AMC 10 A 2010
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