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Permutations-and-combinations Questions Set 5:

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If 6C2 = 6Cx then find possible values of x.

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A coin is tossed 4 times. The probability that tails turn up in 3 cases is:

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Find the number of 5 letter words which can be formed from word PULSE if repetition is allowed.

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The number of four–digit telephone numbers having at least one of their digits repeated is _______

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A passcode is made of 5 digits. How many maximum numbers of ways incorrect passcode is entered?

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How many words can be made from the letters of the word SHASHIDHAR such that all the vowels come together?

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If there are 4 paths to travel from Delhi to Kanpur, then in how many ways a person can travel from Delhi to Kanpur and came back to Delhi via same path?

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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

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Let X be a random variable with probability distribution function f(x) = 0.2 for |x| < 1, = 0.1 for 1 < |x| < 4, = 0 otherwise. The probability P(0.5 < x < 5) is:

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If a code involves one letter of English alphabet at first place and a number at second place. Numbers can be used from 1 to 9. How many codes are possible using the letters of alphabet and numbers?

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