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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1
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How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
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2
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Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is
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3
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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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4
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How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
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5
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In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
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6
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Six boys and 4 girls are to be seated in two separate rows with five chairs each, such that two particular girls are always together and all the girls are not in the same row. In how many ways can they be seated?
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7
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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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8
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What is the sum of all 4 digit numbers that can be formed by the digits 1, 2, 3, 4 each exactly once
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9
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In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
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10
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Find the probability that a leap year selected at random will contain 53 Sundays
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