A) 108 | B) 117 |

C) 810 | D) 180 |

Explanation:

The number of words beign with A is 4!

The number of words beign with E is 4!

The number of words beign with M is 4!

The number of words beign with R is 4!

Number of words beign with VA is 3!

Words beign with VE are VEAMR

VEARM

VEMAR

VEMRA

VERAM

VERMA

The Rank of the word VERMA = 4 x 4! + 3! + 6

= 96 + 6 + 6 =108

A) 28 | B) 56 |

C) 44 | D) 36 |

Explanation:

Given there are 9 flavours of ice creams.

Each child takes the combination of two flavours and no two children will have the same combination

This can be done by 9C2 ways i.e children.

Number of children = 9C2 = 9 x 8 / 2 = 36.

A) 360 | B) 420 |

C) 576 | D) 220 |

Explanation:

No. of letters in the word = 6

No. of 'E' repeated = 2

Total No. of arrangement = 6!/2! = 360

A) 26 | B) 54 |

C) 52 | D) 28 |

Explanation:

Number of mens = 8

Number of womens = 5

Different ways could couples be picked = 6c1 x 9c1 = 9 x 6 = 54 ways.

A) 521 | B) 720 |

C) 420 | D) 225 |

Explanation:

Let last digit is 2

when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.

so for last digit = 2, total numbers=240

Similarly for 4 and 6

When last digit = 4, total no. of ways =240

and last digit = 6, total no. of ways =240

so total of 720 even numbers are possible.

A) 5040 | B) 2525 |

C) 2052 | D) 4521 |

Explanation:

The Word LOGARITHMS contains 10 letters.

To find how many 4 letter words we can form from that = 10p4 =10x9x8x7 = 5040.