Sl.No 4

Nine chairs are numbered 1 to 9. Three women and four men wish to occupy one chair each. First the women chose the chairs from amongst the chair marked 1 to 5; and then the men select the chairs from amongst the remaining. The number of possible arrangements is

• ⁵C₃ × ⁴C₂

• ⁵C₂ × ⁴P₃

• ⁵C₃ × ⁶C₄

• None

In an examination, a candidate is required to pass all five different subjects. The number of ways he can fail is:

• 30

• 31

• 32

• 33

In a cricket championship, there are 21 matches. If each team plays one match with every other team, the number of teams is

• 4

• 5

• 6

• 7

How many words can be formed from the letters of the word 'director' so that the vowels or always together?

• 2340

• 2160

• 2865

• 2360

How many four letter words with or without meaning can we formed out of the letters of the word 'logarithms' if repetition of letters is not allowed?

• 400

• 2520

• 40

• 5040

How many arrangements can be made out of the letters of the word 'engineering' ?

• 277200

• 92400

• 69300

• 23100

In how many different ways can be letters of the word 'mathematics' be arranged so that the vowels always come together?

• 10080

• 4989600

• 120960

• 50400

From a group for 7 men and six women five persons are to be selected to form a committee so that at least three men or there on the committee. In how many ways can it be done?

• 735

• 756

• 864

• 945

In how many ways 21 books on English and 19 books on Hindi can be placed in a row on yourself so that two books on Hindi may not be together?

• 1540

• 1995

• 3672

• 3990