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5 squares on a chessboard can be chosen in 64C5 ways Three squares of one colour and two squares of different colour can be chosen in two mutually exclusive ways (i) 3 white and 2 black (ii) 3 black and 2 white Thus, the favourable number of cases = 32C3 × 32C2 + 32C2 × 32C3 = 2 × 32C2 × 32C3 Required Probability = 2 × 32C2 × 32C3 / 64C5
A, B and C invested in partnership. A invest Rs.9000 for 5 months, B invests Rs.7000 for 3 months and C invests Rs.12000 for 2 months. C is working part...
If p = q + 2, where q is the product of six consecutive positive integers, then which of the following is/are true?
a. p is a perfect cube
14, 28, 56, 112, ...... The sum of first 10 numbers in the series is:
The sum to n terms of the series 1 + 1 + 3 + 1 + 3 + 5 + 1 + 3 + 5 + 7 …………………… is
Which of the following statement(s) is/are correct?
(I) The area of a parallelogram with a base of ...
The 5th and 8th term of an arithmetic progression are 13 and -5 respectively. What is the 15th term?
The average weight of 16 people in a group is 75 kg. If the heaviest person who weighs 95 kg is replaced by a new person, and the average weight of the ...
3, 12, 48, 192, __________ find which of the following term is equal to 12288?
A spent 36% and 25% of his monthly salary on food and rent, respectively. Of the remaining amount, he gave 25% and 40% to his mother and brother, respec...
A shopkeeper sells a product for ₹720 at a profit of 20%. What was the cost price of the product?