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Statistics questions and answers. Proved for Mastery
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Q.1 Solve the following questions: 1. How many words can be formed by using all letters of TIHAR (1 mark) A. 100 B. 120 C. 140 D. 160 Ans) There are five letters can be filled in five places in ... 5p5 ways i.e., 5! Ways=120 ____________________________________________________ 2. Five digits are given as 3, 1, 0, 9, 5. (3 marks) 1. From these digits how many five digits numbers can be formed, without repetition of the digits ? Ans) The total number of five digits numbers can be formed is 4*24=96 2. How many of them are divisible by 5? Ans) The total number of five digits divisible by 5 is 1c1*4!+3c1*3!*1c1=42. 3. How many of them are not divisible by 5? Ans) Total number of digits not divisible by 5 is 96-42=54 ____________________________________________________ 3. From the word MATHEMATICS (3 marks) (a) How many different arrangements can be made by using all the letters in the word MATHEMATICS . Ans) The total number of arrangements using the word is (11!)/(2!2!2!) . (b) How many of them begin with I? Ans) First we need to select I that can be done in 1c1 way. Remaining 10 places 10 words are arranged in 10! Ways and M ,A,T each repeated 2times. Therefore total number of arrangements using the word is 1c1*(10!)/(2!2!2!). [Show More]
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