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Frequently Asked exam Math Questions and Answer Page 8617

(#M40020865) EXAM QUESTION number theory Keep an EYE

Find the smallest number that has exactly 19 factors.

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(#M40020855) EXAM QUESTION permutation Keep an EYE

There are 12 boys and 14 girls in Mrs. Schultzkie's math class. Find the number of ways Mrs. Schultzkie can select a team of 3 students from the class to work on a group project. The team is to consist of 1 girl and 2 boys.

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(#M40020846) EXAM QUESTION permutation Keep an EYE

How many five digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2, 3, 4 and 5, without any of the digits getting repeated in a number?

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(#M40020842) EXAM QUESTION permutation Keep an EYE

If represents the number of combinations of n items taken r at a time,
what is the value of ?

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(#M40020834) EXAM QUESTION permutation Keep an EYE

Determine whether the following situations would require calculating a permutation or a combination:
a.) Selecting three students to attend a conference in Washington, D.C.
permutation combination


b.) Selecting a lead and an understudy for a school play.
permutation combination


c.) Assigning students to their seats on the first day of school.
permutation combination

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(#M40020830) EXAM QUESTION permutation Keep an EYE

In how many ways can the letters of the word 'LEADER' be arranged?

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(#M40020826) EXAM QUESTION permutation Keep an EYE

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

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(#M40020792) EXAM QUESTION permutation Keep an EYE

In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together?

A.

10! - 2!

B.

9! - 2!

C.

10! - 9!

D.

None of these

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(#M40020784) EXAM QUESTION permutation Keep an EYE

A book-shelf can accommodate 6 books from left to right. If 10 identical books on each of the languages A,B,C and D are available, In how many ways can the book shelf be filled such that book on the same languages are not put adjacently.

A.

40P6
6!

B.

10×95

C.

6P4
2!

D.

4×35

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(#M40020782) EXAM QUESTION permutation Keep an EYE

There are 5 Rock songs, 6 Carnatic songs and 3 Indi pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song?

A.

15624

B.

16384

C.

6144

D.

240

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