A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
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1
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One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is not a face card (Jack, Queen and King only)?
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2
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There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
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3
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A polygon has 44 diagonals. What is the number of its sides?
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4
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From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.
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5
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Find the probability that a leap year selected at random will contain 53 Sundays
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6
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Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
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7
Discuss

A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
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8
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Three chairs are arranged in a row facing three other chairs. 4 boys and 2 girls are to be seated on these chairs such that girls are always facing each other. In how many ways can they be seated?
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9
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A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
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10
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In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
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