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Chapter 7 : Permutations and Combinations
Q. How many 4-letter code can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?
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Q. How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?
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Q. Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?
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Q. How many 5 digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?
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Q. A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?
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Q. How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that.
i) Repetition of the digits is allowed?
ii) Repetition of the digits is not allowed?
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Q. How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetition of the digits is not allowed?
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Q. Evaluate n!(nr)!, when
(i) n=6, r=2.
(ii) n=9, r=5
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Q. Compute 8!6!×2!
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Q. Evaluate n!(nr)!, when.
n=9, r=5.
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Q. Evaluate
(i) 8! ii) 4!3!
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Q. If 16!+17!=x8!, find x.
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Q. Is 3!+4!=7! ?
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Q. Evaluate-
(i) 4!3!
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Q. Find n if n1P3:nP4=1:9.
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Q. How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7 if no digit is repeated?
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Q. Find the number of 4-digit even numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of those will be even?
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Q. How many 4-digit numbers are there with no digit repeated?
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Q. How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?
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Q. From a committee of 8 persons, in how many ways can we choose a chairman and a vice chairman assuming one person can not hold more than one position?
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