8Permutation and Combination

Q1.
The value of 5P5x10C3 is:
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Q2.
In how many differernt ways can the letter of the word 'PRESENT' be arranged?
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Q3.
How many arrangements can be made out of the letters of the word 'ENGINEERING'?
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Q4.
In how many different ways can the letters of words 'DESIGN' be arranged so that the vowels are at the two ends?
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Q5.
In how many different ways can the letters of the work 'DAUGHTER' be arranged so that the vowels always comes together?
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Q6.
In how many ways can a cricket eleven be chosen out of 14 players?
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Q7.
In how many different ways can the letters of the word 'SMART' be arranged?
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Q8.
In how many different ways can the letters of the word "RIDDLE" be arranged?
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Q9.
In how many different ways can the letters of the word "LOVE" be arranged?
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Q10.
In how many ways can a committee of 4 people be chosen out of 8 people?
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Q11.
In how many ways can a committee consisting of 5 men and 6 women be formed from 8 men and 10 women?
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Q12.
In how many ways can a group of 5 men and 2 women be made out of total 7 men and 3 women?
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Q13.
Out of 5 men and 3 women, a committee of three members is to be formed so that it has 1 woman and 2 men. In how many different ways can it be done?
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Q14.
Out of 5 women and 4 men, a committee of three members is to be formed in such a way that at least one member is a women. In how many different ways can it be done?
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Q15.
In how many different ways can the letters of the word 'SOFTWARE' be arranged in such a way that the vowels always come together?
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Q16.
In how many different ways can the letters of the word "OPTICAL" be arranged in such a way that the vowels always come together?
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Q17.
In how many different ways can the letters of the word "BINDI" be arranged?
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Q18.
In how many different ways can the letters of the word "MATHEMATICS" be arranged?
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Q19.
In an examination there are three multiple choice question and each question has 4 choices. The number of ways in which a student can fail to get all answers correct is:
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Q20.
In how many ways can the letters of the word "MOMENT" be arranged?
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Q21.
In how many ways can the letters of the word "PHYSICS" be arranged?
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Q22.
In how many different ways can the letters of word "CORPORATION" be arranged so that the vowels always came together?
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Q23.
There are six teachers, out of them two are primary teachers and two are secondary teachers. They are to stand in a row, so as the primary teacher, middle teachers & secondary teachers are always in a set. The number of ways in which they can do so, is
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