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Mathematics Mcqs — Test 33

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Question 1
A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most__________?
Question 2
The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is_________?
Question 3
How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
Question 4
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
Question 5
A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?
Question 6
In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”?
Question 7
In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
Question 8
A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
Question 9
In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?
Question 10
There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?