HSC Science (Computer Science) 11th Standard - Maharashtra State Board Question Bank Solutions

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In a set of 30 shirts, 17 are white and rest are black. 4 white and 5 black shirts are tagged as ‘PARTY WEAR’. If a shirt is chosen at random from this set, the possibility of choosing a black shirt or a ‘PARTY WEAR’ shirt is

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The letters of the word 'EQUATION' are arranged in a row. Find the probability that All the vowels are together

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The letters of the word 'EQUATION' are arranged in a row. Find the probability that Arrangement starts with a vowel and ends with a consonant

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Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is and even number?

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If the letters of the word 'REGULATIONS' be arranged at random, what is the probability that there will be exactly 4 letters between R and E?

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In how many ways can the letters of the word ARRANGEMENTS be arranged? Find the chance that an arrangement chosen at random begins with the letters EE.

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In how many ways can the letters of the word ARRANGEMENTS be arranged? Find the probability that the consonants are together

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A letter is taken at random from the letters of the word 'ASSISTANT' and another letter is taken at random from the letters of the word 'STATISTICS'. Find the probability that the selected letters are the same

A teacher wants to select the class monitor in a class of 30 boys and 20 girls. In how many ways can the monitor be selected if the monitor must be a girl or a boy?

A Signal is generated from 2 flags by putting one flag above the other. If 4 flags of different colours are available, how many different signals can be generated?

How many two letter words can be formed using letters from the word SPACE, when repetition of letters is allowed?

How many two letter words can be formed using letters from the word SPACE, when repetition of letters is not allowed?

How many three-digit numbers can be formed from the digits 0, 1, 3, 5, 6 if repetitions of digits are allowed?

How many three-digit numbers can be formed from the digits 0, 1, 3, 5, 6 if repetitions of digits are not allowed?

How many three-digit numbers can be formed using the digits 2, 3, 4, 5, 6 if digits can be repeated?

A letter lock contains 3 rings, each ring containing 5 different letters. Determine the maximum number of false trials that can be made before the lock is opened?

In a test, 5 questions are of the form 'state, true or false'. No student has got all answers correct. Also, the answer of every student is different. Find the number of students appeared for the test.

How many numbers between 100 and 1000 have 4 in the units place?

How many numbers between 100 and 1000 have the digit 7 exactly once?

How many four digit numbers will not exceed 7432 if they are formed using the digits 2, 3, 4, 7 without repetition?