A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
32
48
64
96
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1
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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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2
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If C(n, 7) = C(n, 5), find n
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3
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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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4
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A polygon has 44 diagonals. What is the number of its sides?
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5
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Two variants of the CAT paper are to be given to 12 students. In how many ways can the students be placed in two rows of six each so that there should be no identical variants side by side and that the students sitting one behind the other should have the same variant. Find the number of ways this can be done
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6
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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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7
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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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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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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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10
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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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