#### Permutation and Combination Question & Answers

From a deck of 52 cards, a 5 card hand is dealt.How may distinct five card hands are there if the queen of spades and the four of diamonds must be in the hand?

A) 52C5 | B) 50C3 |

C) 52C4 | D) 50C4 |

Explanation:

If the queen of spades and the four of diamonds must be in hand,we have 50 cards remaining out of which we are choosing 3.

So,

Subject: Permutation and Combination - Quantitative Aptitude - Arithmetic Ability

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- Related Questions

The Number of times the digit 8 will be written when listing the integers from 1 to 1000 is :

A) 100 | B) 200 |

C) 300 | D) 400 |

Explanation:

Since 8 does not occur in 1000, we have to count the number of times 8 occurs when we list the integers from 1 to 999. Any number between 1 and 999 is of the form xyz, where

Let us first count the numbers in which 8 occurs exactly once.

Since 8 can occur atone place in ways. There are such numbers.

Next, 8 can occur in exactly two places in such numbers. Lastly, 8 can occur in all three digits in one number only.

Hence, the number of times 8 occur is

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Subject: Permutation and Combination - Quantitative Aptitude - Arithmetic Ability

If the letters of the word VERMA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word VERMA is :

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

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Subject: Permutation and Combination - Quantitative Aptitude - Arithmetic Ability

The number of signals that can be generated by using 5 differently coloured flags, when any number of them may be hoisted at a time is:

A) 235 | B) 253 |

C) 325 | D) None of these |

Explanation:

Required number of signals =

= 5 + 20 + 60 + 120 + 120 = 325

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Subject: Permutation and Combination - Quantitative Aptitude - Arithmetic Ability

In how many ways can 100 soldiers be divided into 4 squads of 10,20, 30, 40 respectively?

A) 1700 | B) 18! |

C) 190 | D) None of these |

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Subject: Permutation and Combination - Quantitative Aptitude - Arithmetic Ability

What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each?

A) 2856 | B) 3969 |

C) 480 | D) None of these |

Explanation:

We can select atleast one item from 6 different items =

Similarly we can select atleast one item from other set of 6 different items in ways.

Required number of ways =

= = 3969

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Subject: Permutation and Combination - Quantitative Aptitude - Arithmetic Ability