A teacher has 450 identical pieces of candy. He wants to distribute them to his class
of 65 students, although he is willing to take some leftover candy home. (He does
not insist on taking any candy home, however.) The student who won a contest in
the last class is to receive at least 10 pieces of candy as a reward. Of the remaining
students, 34 of them insist on receiving at least one piece of candy, while the
remaining 30 students are willing to receive no candy.
a) In how many ways can he distribute the candy?
b) In how many ways can he distribute the candy if, in addition to the conditions
above, one of his students is diabetic and can receive at most 7 pieces of candy?
(This student is one of the 34 who insist on receiving at least one piece of
candy.)
A rectangle is drawn such that none of its sides has length greater than 'a'.All lengths less than 'a' are equally likely.The chance(in %) that the rectangle has its diagonal greater than 'a' is ?
a car A starts from a point P towards another point Q.Another car B starts (also from p) 1 h after the first car and overtakes it after covering 30% of the distance PQ .after that .the car contniue and on reaching Q, Car B reverses and meet car A at 23(1/3) of the distance QP.find the time taken by car B to cover the distance PQ(in hours)
There are 3 bags each containing some blue and pink balls only. Bag 1 contains 3 pink and 1 blue ball. Bag 2 contains 2 pink and 5 blue balls. Bag 3 contains 5 pink and 4 blue balls. Two balls are drawn at random (with replacement). What is the probability that the the two balls drawn are at least one blue and one pink?
Two trains Amrapali express and Barouni express simultaneously started on two parallel tracks from Meerut to Nagpur, which are 390 km apart. The ratio of the speed of Amrapali express and Barouni express is 6 : 7. After how long (in kms) travelling, Barouni express exchanges the speed with Amrapali express so that both the trains reach at their destination simultaneously??
A vessel has a milk solution in which milk and water are in the ratio 4:1. by addition of water to it, milk solution with milk and water in the ratio 4:3 was formed. on replacing 14 L of this solution with pure milk the ratio of milk and water changed to 5:3. what is the volume of the water added?
Letters of the word 'ATTRACT' are written on cards and are kept on a table. Manish is asked to lift three cards at a time, write all possible combinations of the letters on a piece of paper and then replace the three cards. The exercise ends when all possible combinations of letters are exhausted. Then, he is asked to strike out all words in his list, which look the same when seen in a mirror. How many words is he left with?
The volumes of two vessels, which are filled up to the brim by milk of different prices, are 220 L and 180 L. An equal amount of milk is taken out from each of the two vessels, and the milk taken out from the first vessel is poured into the second vessel while the milk taken out from the second vessel is poured into the first vessel. If the price per liter of milk in both the vessels becomes the same eventually, find the volume of milk taken out from each of the two vessels.a 120 Lb 60 Lc 90 Ld 99 L
Two cards are simultaneously taken out from a well-shuffled pack of 52 cards. What is the probability that one of the cards is a long & the other card is a diamond ?