Find the probability that a leap year selected at random will contain 53 Sundays
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1
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How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
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2
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A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?
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3
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If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?
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4
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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
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5
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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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6
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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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7
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In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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8
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From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
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9
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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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10
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In how many ways the letters of the word “UNDERDOG” can be arranged such that the first and last letters are same and no two vowels are together?
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