If (n + 2)! = 2550 (n!); find ’n’
49
35
38
43
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1
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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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2
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The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line, is
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3
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It is required to seat 5 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
Solution 
4
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In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
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5
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If C(n, 7) = C(n, 5), find n
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6
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Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
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7
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Find the probability that a leap year selected at random will contain 53 Sundays
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8
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If P(A)=2/5, P(B)=3/10 and P(A ∩ B) =51, then P(A'  B'). P(B'  A') is equal to
Solution 
9
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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)?
Solution 
10
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
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