Combinatorics | Number Theory Answers

A donut crate has 100 apple fritters, 150 chocolate fritters, 200 apple bars and 250 chocolate bars. Choose one at random. What is the probability it is a fritter or contains chocolate?

∇^p(ao+a1*t+...an*t^p)=p!*an prove left hand side.. and note that a0,a1...an 0,1..n is in the subscript of a and ^p means power and * means multiply.

A man can row a boat at 8kmph in still water. If speed of the river is 2kmph, it takes him 48 minutes to row to a place and come back. how far is the place from the starting point?

the sum of all the factors of 100 is?

A shipment of 10 television sets contains 3 defective ses .the number of ways in which one can purchase 4 of tese sets and receive two defective sets are......

there are 48 pepsi bottles,84 mirinda bottles and 60 sprite bottles in a shop. these bottles are to be put in crate, so that each crate has the same number of bottles with same cold drink.find the greatest number of bottles in each crate

How many cards must you pick up from a standard 52 card deck to be sure of getting
at least one red card.

A local pizza restaurant has three different crusts and ten different toppings. A “plain” pizza has cheese only.

“Double-toppings” are not allowed; that is, you cannot order "double mushrooms" or "triple jalapenos."

Customers may order any number of toppings from 0 to 10 on any of the three types of crust. How many different pizzas are possible?

Given n+1 natural numbers, say ,a1,a2,a3,,...,an+1 all less than or equal to 2n, then there exists a pair, say ai and aj with i j, such that ai divides aj.

Repetition: If you have 4 green circles, 3 red circles, and 2 black circles, how many distinct arrangements could you make?