Among 40 students, 25 like math, 20 like science and 5 don't like either. How many like both How many like math but not science. How many like either math or science but not both. Consider there are 100 children playing sports. 40 play football, 35 play basketball and 43 play soccer. Among them 10 play both football and soccer, 8 play soccer and basketball, 12 play football and basketball, 3 play all 3 games. Create a venn diagram for the above relationship. How many students play at most one game. In how many number of ways the letters in the word "ASSIGNMENT" can be arranged? Consider there are 5 boys and 4 girls. Find the number of ways that all 9 sit in a row with a restriction that all girls sit together In a school project, a group consists of 8 boys and 5 girls. In how many possible ways can a team of 5 happen if there should be at most one girl. How many 3 digit numbers are formed using 0, 2, 4, 6, 8 When repetition of numbers is allowed. When repetition not allowed. A deck of cards has 4 suits: diamonds, hearts, clubs, and spades. The suits of diamonds and hearts are both red and the suits of clubs and spades are both black. Each suit has the following denominations: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King. The Jacks, Queens and Kings are also called face cards. In how many different ways 5 cards can be picked with restriction that all 5 cards are red. In how many ways 2 cards can be drawn such that one card is from red face cards and the other is a black card